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Simplifying (12 + n)(11 + n)(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (12 + n) * (11 + n) (12(11 + n) + n(11 + n))(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((11 * 12 + n * 12) + n(11 + n))(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((132 + 12n) + n(11 + n))(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (132 + 12n + (11 * n + n * n))(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (132 + 12n + (11n + n2))(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 12n + 11n = 23n (132 + 23n + n2)(10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (132 + 23n + n2) * (10 + n) (132(10 + n) + 23n * (10 + n) + n2(10 + n))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((10 * 132 + n * 132) + 23n * (10 + n) + n2(10 + n))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((1320 + 132n) + 23n * (10 + n) + n2(10 + n))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (1320 + 132n + (10 * 23n + n * 23n) + n2(10 + n))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (1320 + 132n + (230n + 23n2) + n2(10 + n))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (1320 + 132n + 230n + 23n2 + (10 * n2 + n * n2))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (1320 + 132n + 230n + 23n2 + (10n2 + n3))(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 132n + 230n = 362n (1320 + 362n + 23n2 + 10n2 + n3)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 23n2 + 10n2 = 33n2 (1320 + 362n + 33n2 + n3)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (1320 + 362n + 33n2 + n3) * (9 + n) (1320(9 + n) + 362n * (9 + n) + 33n2 * (9 + n) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((9 * 1320 + n * 1320) + 362n * (9 + n) + 33n2 * (9 + n) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((11880 + 1320n) + 362n * (9 + n) + 33n2 * (9 + n) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + (9 * 362n + n * 362n) + 33n2 * (9 + n) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + (3258n + 362n2) + 33n2 * (9 + n) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + 3258n + 362n2 + (9 * 33n2 + n * 33n2) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + 3258n + 362n2 + (297n2 + 33n3) + n3(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + 3258n + 362n2 + 297n2 + 33n3 + (9 * n3 + n * n3))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (11880 + 1320n + 3258n + 362n2 + 297n2 + 33n3 + (9n3 + n4))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 1320n + 3258n = 4578n (11880 + 4578n + 362n2 + 297n2 + 33n3 + 9n3 + n4)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 362n2 + 297n2 = 659n2 (11880 + 4578n + 659n2 + 33n3 + 9n3 + n4)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 33n3 + 9n3 = 42n3 (11880 + 4578n + 659n2 + 42n3 + n4)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (11880 + 4578n + 659n2 + 42n3 + n4) * (8 + n) (11880(8 + n) + 4578n * (8 + n) + 659n2 * (8 + n) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((8 * 11880 + n * 11880) + 4578n * (8 + n) + 659n2 * (8 + n) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((95040 + 11880n) + 4578n * (8 + n) + 659n2 * (8 + n) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + (8 * 4578n + n * 4578n) + 659n2 * (8 + n) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + (36624n + 4578n2) + 659n2 * (8 + n) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + (8 * 659n2 + n * 659n2) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + (5272n2 + 659n3) + 42n3 * (8 + n) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + 5272n2 + 659n3 + (8 * 42n3 + n * 42n3) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + 5272n2 + 659n3 + (336n3 + 42n4) + n4(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + 5272n2 + 659n3 + 336n3 + 42n4 + (8 * n4 + n * n4))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (95040 + 11880n + 36624n + 4578n2 + 5272n2 + 659n3 + 336n3 + 42n4 + (8n4 + n5))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 11880n + 36624n = 48504n (95040 + 48504n + 4578n2 + 5272n2 + 659n3 + 336n3 + 42n4 + 8n4 + n5)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 4578n2 + 5272n2 = 9850n2 (95040 + 48504n + 9850n2 + 659n3 + 336n3 + 42n4 + 8n4 + n5)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 659n3 + 336n3 = 995n3 (95040 + 48504n + 9850n2 + 995n3 + 42n4 + 8n4 + n5)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 42n4 + 8n4 = 50n4 (95040 + 48504n + 9850n2 + 995n3 + 50n4 + n5)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (95040 + 48504n + 9850n2 + 995n3 + 50n4 + n5) * (7 + n) (95040(7 + n) + 48504n * (7 + n) + 9850n2 * (7 + n) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((7 * 95040 + n * 95040) + 48504n * (7 + n) + 9850n2 * (7 + n) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((665280 + 95040n) + 48504n * (7 + n) + 9850n2 * (7 + n) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + (7 * 48504n + n * 48504n) + 9850n2 * (7 + n) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + (339528n + 48504n2) + 9850n2 * (7 + n) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + (7 * 9850n2 + n * 9850n2) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + (68950n2 + 9850n3) + 995n3 * (7 + n) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + (7 * 995n3 + n * 995n3) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + (6965n3 + 995n4) + 50n4 * (7 + n) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + 6965n3 + 995n4 + (7 * 50n4 + n * 50n4) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + 6965n3 + 995n4 + (350n4 + 50n5) + n5(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + 6965n3 + 995n4 + 350n4 + 50n5 + (7 * n5 + n * n5))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (665280 + 95040n + 339528n + 48504n2 + 68950n2 + 9850n3 + 6965n3 + 995n4 + 350n4 + 50n5 + (7n5 + n6))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 95040n + 339528n = 434568n (665280 + 434568n + 48504n2 + 68950n2 + 9850n3 + 6965n3 + 995n4 + 350n4 + 50n5 + 7n5 + n6)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 48504n2 + 68950n2 = 117454n2 (665280 + 434568n + 117454n2 + 9850n3 + 6965n3 + 995n4 + 350n4 + 50n5 + 7n5 + n6)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 9850n3 + 6965n3 = 16815n3 (665280 + 434568n + 117454n2 + 16815n3 + 995n4 + 350n4 + 50n5 + 7n5 + n6)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 995n4 + 350n4 = 1345n4 (665280 + 434568n + 117454n2 + 16815n3 + 1345n4 + 50n5 + 7n5 + n6)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 50n5 + 7n5 = 57n5 (665280 + 434568n + 117454n2 + 16815n3 + 1345n4 + 57n5 + n6)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (665280 + 434568n + 117454n2 + 16815n3 + 1345n4 + 57n5 + n6) * (6 + n) (665280(6 + n) + 434568n * (6 + n) + 117454n2 * (6 + n) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((6 * 665280 + n * 665280) + 434568n * (6 + n) + 117454n2 * (6 + n) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((3991680 + 665280n) + 434568n * (6 + n) + 117454n2 * (6 + n) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + (6 * 434568n + n * 434568n) + 117454n2 * (6 + n) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + (2607408n + 434568n2) + 117454n2 * (6 + n) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + (6 * 117454n2 + n * 117454n2) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + (704724n2 + 117454n3) + 16815n3 * (6 + n) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + (6 * 16815n3 + n * 16815n3) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + (100890n3 + 16815n4) + 1345n4 * (6 + n) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + (6 * 1345n4 + n * 1345n4) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + (8070n4 + 1345n5) + 57n5 * (6 + n) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + (6 * 57n5 + n * 57n5) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + (342n5 + 57n6) + n6(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + 342n5 + 57n6 + (6 * n6 + n * n6))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (3991680 + 665280n + 2607408n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + 342n5 + 57n6 + (6n6 + n7))(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 665280n + 2607408n = 3272688n (3991680 + 3272688n + 434568n2 + 704724n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + 342n5 + 57n6 + 6n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 434568n2 + 704724n2 = 1139292n2 (3991680 + 3272688n + 1139292n2 + 117454n3 + 100890n3 + 16815n4 + 8070n4 + 1345n5 + 342n5 + 57n6 + 6n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 117454n3 + 100890n3 = 218344n3 (3991680 + 3272688n + 1139292n2 + 218344n3 + 16815n4 + 8070n4 + 1345n5 + 342n5 + 57n6 + 6n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 16815n4 + 8070n4 = 24885n4 (3991680 + 3272688n + 1139292n2 + 218344n3 + 24885n4 + 1345n5 + 342n5 + 57n6 + 6n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 1345n5 + 342n5 = 1687n5 (3991680 + 3272688n + 1139292n2 + 218344n3 + 24885n4 + 1687n5 + 57n6 + 6n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 57n6 + 6n6 = 63n6 (3991680 + 3272688n + 1139292n2 + 218344n3 + 24885n4 + 1687n5 + 63n6 + n7)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (3991680 + 3272688n + 1139292n2 + 218344n3 + 24885n4 + 1687n5 + 63n6 + n7) * (5 + n) (3991680(5 + n) + 3272688n * (5 + n) + 1139292n2 * (5 + n) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 ((5 * 3991680 + n * 3991680) + 3272688n * (5 + n) + 1139292n2 * (5 + n) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 ((19958400 + 3991680n) + 3272688n * (5 + n) + 1139292n2 * (5 + n) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + (5 * 3272688n + n * 3272688n) + 1139292n2 * (5 + n) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + (16363440n + 3272688n2) + 1139292n2 * (5 + n) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + (5 * 1139292n2 + n * 1139292n2) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + (5696460n2 + 1139292n3) + 218344n3 * (5 + n) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + (5 * 218344n3 + n * 218344n3) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + (1091720n3 + 218344n4) + 24885n4 * (5 + n) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + (5 * 24885n4 + n * 24885n4) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + (124425n4 + 24885n5) + 1687n5 * (5 + n) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + (5 * 1687n5 + n * 1687n5) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + (8435n5 + 1687n6) + 63n6 * (5 + n) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + (5 * 63n6 + n * 63n6) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + (315n6 + 63n7) + n7(5 + n))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + (5 * n7 + n * n7))(4 + n)(3 + n)(2 + n) = 0 (19958400 + 3991680n + 16363440n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + (5n7 + n8))(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 3991680n + 16363440n = 20355120n (19958400 + 20355120n + 3272688n2 + 5696460n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 3272688n2 + 5696460n2 = 8969148n2 (19958400 + 20355120n + 8969148n2 + 1139292n3 + 1091720n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 1139292n3 + 1091720n3 = 2231012n3 (19958400 + 20355120n + 8969148n2 + 2231012n3 + 218344n4 + 124425n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 218344n4 + 124425n4 = 342769n4 (19958400 + 20355120n + 8969148n2 + 2231012n3 + 342769n4 + 24885n5 + 8435n5 + 1687n6 + 315n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 24885n5 + 8435n5 = 33320n5 (19958400 + 20355120n + 8969148n2 + 2231012n3 + 342769n4 + 33320n5 + 1687n6 + 315n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 1687n6 + 315n6 = 2002n6 (19958400 + 20355120n + 8969148n2 + 2231012n3 + 342769n4 + 33320n5 + 2002n6 + 63n7 + 5n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 63n7 + 5n7 = 68n7 (19958400 + 20355120n + 8969148n2 + 2231012n3 + 342769n4 + 33320n5 + 2002n6 + 68n7 + n8)(4 + n)(3 + n)(2 + n) = 0 Multiply (19958400 + 20355120n + 8969148n2 + 2231012n3 + 342769n4 + 33320n5 + 2002n6 + 68n7 + n8) * (4 + n) (19958400(4 + n) + 20355120n * (4 + n) + 8969148n2 * (4 + n) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 ((4 * 19958400 + n * 19958400) + 20355120n * (4 + n) + 8969148n2 * (4 + n) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 ((79833600 + 19958400n) + 20355120n * (4 + n) + 8969148n2 * (4 + n) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + (4 * 20355120n + n * 20355120n) + 8969148n2 * (4 + n) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + (81420480n + 20355120n2) + 8969148n2 * (4 + n) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + (4 * 8969148n2 + n * 8969148n2) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + (35876592n2 + 8969148n3) + 2231012n3 * (4 + n) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + (4 * 2231012n3 + n * 2231012n3) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + (8924048n3 + 2231012n4) + 342769n4 * (4 + n) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + (4 * 342769n4 + n * 342769n4) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + (1371076n4 + 342769n5) + 33320n5 * (4 + n) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + (4 * 33320n5 + n * 33320n5) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + (133280n5 + 33320n6) + 2002n6 * (4 + n) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + (4 * 2002n6 + n * 2002n6) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + (8008n6 + 2002n7) + 68n7 * (4 + n) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + (4 * 68n7 + n * 68n7) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + (272n7 + 68n8) + n8(4 + n))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + (4 * n8 + n * n8))(3 + n)(2 + n) = 0 (79833600 + 19958400n + 81420480n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + (4n8 + n9))(3 + n)(2 + n) = 0 Combine like terms: 19958400n + 81420480n = 101378880n (79833600 + 101378880n + 20355120n2 + 35876592n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 20355120n2 + 35876592n2 = 56231712n2 (79833600 + 101378880n + 56231712n2 + 8969148n3 + 8924048n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 8969148n3 + 8924048n3 = 17893196n3 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 2231012n4 + 1371076n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 2231012n4 + 1371076n4 = 3602088n4 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 342769n5 + 133280n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 342769n5 + 133280n5 = 476049n5 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 476049n5 + 33320n6 + 8008n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 33320n6 + 8008n6 = 41328n6 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 476049n5 + 41328n6 + 2002n7 + 272n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 2002n7 + 272n7 = 2274n7 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 476049n5 + 41328n6 + 2274n7 + 68n8 + 4n8 + n9)(3 + n)(2 + n) = 0 Combine like terms: 68n8 + 4n8 = 72n8 (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 476049n5 + 41328n6 + 2274n7 + 72n8 + n9)(3 + n)(2 + n) = 0 Multiply (79833600 + 101378880n + 56231712n2 + 17893196n3 + 3602088n4 + 476049n5 + 41328n6 + 2274n7 + 72n8 + n9) * (3 + n) (79833600(3 + n) + 101378880n * (3 + n) + 56231712n2 * (3 + n) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 ((3 * 79833600 + n * 79833600) + 101378880n * (3 + n) + 56231712n2 * (3 + n) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 ((239500800 + 79833600n) + 101378880n * (3 + n) + 56231712n2 * (3 + n) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + (3 * 101378880n + n * 101378880n) + 56231712n2 * (3 + n) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + (304136640n + 101378880n2) + 56231712n2 * (3 + n) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + (3 * 56231712n2 + n * 56231712n2) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + (168695136n2 + 56231712n3) + 17893196n3 * (3 + n) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + (3 * 17893196n3 + n * 17893196n3) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + (53679588n3 + 17893196n4) + 3602088n4 * (3 + n) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + (3 * 3602088n4 + n * 3602088n4) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + (10806264n4 + 3602088n5) + 476049n5 * (3 + n) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + (3 * 476049n5 + n * 476049n5) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + (1428147n5 + 476049n6) + 41328n6 * (3 + n) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + (3 * 41328n6 + n * 41328n6) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + (123984n6 + 41328n7) + 2274n7 * (3 + n) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + (3 * 2274n7 + n * 2274n7) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + (6822n7 + 2274n8) + 72n8 * (3 + n) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + (3 * 72n8 + n * 72n8) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + (216n8 + 72n9) + n9(3 + n))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + (3 * n9 + n * n9))(2 + n) = 0 (239500800 + 79833600n + 304136640n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + (3n9 + n10))(2 + n) = 0 Combine like terms: 79833600n + 304136640n = 383970240n (239500800 + 383970240n + 101378880n2 + 168695136n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 101378880n2 + 168695136n2 = 270074016n2 (239500800 + 383970240n + 270074016n2 + 56231712n3 + 53679588n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 56231712n3 + 53679588n3 = 109911300n3 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 17893196n4 + 10806264n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 17893196n4 + 10806264n4 = 28699460n4 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 3602088n5 + 1428147n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 3602088n5 + 1428147n5 = 5030235n5 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 476049n6 + 123984n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 476049n6 + 123984n6 = 600033n6 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 600033n6 + 41328n7 + 6822n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 41328n7 + 6822n7 = 48150n7 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 600033n6 + 48150n7 + 2274n8 + 216n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 2274n8 + 216n8 = 2490n8 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 600033n6 + 48150n7 + 2490n8 + 72n9 + 3n9 + n10)(2 + n) = 0 Combine like terms: 72n9 + 3n9 = 75n9 (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 600033n6 + 48150n7 + 2490n8 + 75n9 + n10)(2 + n) = 0 Multiply (239500800 + 383970240n + 270074016n2 + 109911300n3 + 28699460n4 + 5030235n5 + 600033n6 + 48150n7 + 2490n8 + 75n9 + n10) * (2 + n) (239500800(2 + n) + 383970240n * (2 + n) + 270074016n2 * (2 + n) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 ((2 * 239500800 + n * 239500800) + 383970240n * (2 + n) + 270074016n2 * (2 + n) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 ((479001600 + 239500800n) + 383970240n * (2 + n) + 270074016n2 * (2 + n) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + (2 * 383970240n + n * 383970240n) + 270074016n2 * (2 + n) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + (767940480n + 383970240n2) + 270074016n2 * (2 + n) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + (2 * 270074016n2 + n * 270074016n2) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + (540148032n2 + 270074016n3) + 109911300n3 * (2 + n) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + (2 * 109911300n3 + n * 109911300n3) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + (219822600n3 + 109911300n4) + 28699460n4 * (2 + n) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + (2 * 28699460n4 + n * 28699460n4) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + (57398920n4 + 28699460n5) + 5030235n5 * (2 + n) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + (2 * 5030235n5 + n * 5030235n5) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + (10060470n5 + 5030235n6) + 600033n6 * (2 + n) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + (2 * 600033n6 + n * 600033n6) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + (1200066n6 + 600033n7) + 48150n7 * (2 + n) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + (2 * 48150n7 + n * 48150n7) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + (96300n7 + 48150n8) + 2490n8 * (2 + n) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + (2 * 2490n8 + n * 2490n8) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + (4980n8 + 2490n9) + 75n9 * (2 + n) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + (2 * 75n9 + n * 75n9) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + (150n9 + 75n10) + n10(2 + n)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + (2 * n10 + n * n10)) = 0 (479001600 + 239500800n + 767940480n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + (2n10 + n11)) = 0 Combine like terms: 239500800n + 767940480n = 1007441280n (479001600 + 1007441280n + 383970240n2 + 540148032n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 383970240n2 + 540148032n2 = 924118272n2 (479001600 + 1007441280n + 924118272n2 + 270074016n3 + 219822600n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 270074016n3 + 219822600n3 = 489896616n3 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 109911300n4 + 57398920n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 109911300n4 + 57398920n4 = 167310220n4 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 28699460n5 + 10060470n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 28699460n5 + 10060470n5 = 38759930n5 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 5030235n6 + 1200066n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 5030235n6 + 1200066n6 = 6230301n6 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 600033n7 + 96300n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 600033n7 + 96300n7 = 696333n7 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 696333n7 + 48150n8 + 4980n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 48150n8 + 4980n8 = 53130n8 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 696333n7 + 53130n8 + 2490n9 + 150n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 2490n9 + 150n9 = 2640n9 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 696333n7 + 53130n8 + 2640n9 + 75n10 + 2n10 + n11) = 0 Combine like terms: 75n10 + 2n10 = 77n10 (479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 696333n7 + 53130n8 + 2640n9 + 77n10 + n11) = 0 Solving 479001600 + 1007441280n + 924118272n2 + 489896616n3 + 167310220n4 + 38759930n5 + 6230301n6 + 696333n7 + 53130n8 + 2640n9 + 77n10 + n11 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| 6k+9=5k | | 2(x+2)+3(2-x)=0 | | 7x+6=160 | | 9n=9+8n | | -8+t=2t | | x^3+-6x^2+-135x+-400=0 | | xsin(y+x)+2y=0 | | x^3+3xy+y^5-8=0 | | 20x+25x=405 | | 7r=5r+2 | | 2j=10+3j | | X^3-6x^2-135x-400=0 | | r-2+6r=5 | | 3x-19+2x+14+2x+10=180 | | 2(x+5)=6(x+3) | | 0.5h-7-0.75h=-1 | | 3v+9=-9+6v | | 9x+4+7x+6+90=180 | | 4x-1+x(2)+4=3x+3 | | B+5b=-18 | | 3y=6x-13 | | 6=v+v | | -4+9z=8z | | 5x+8+36=180 | | -2d=9+d | | 2x+3y=275 | | 4n-5n=-5 | | (4x+70)=(5x-7) | | 5b=-5b+10 | | 0.8b=1.22 | | (X-3)2=16 | | 7+3w=4w |