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Simplifying (10 + n)(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (10 + n) * (9 + n) (10(9 + n) + n(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((9 * 10 + n * 10) + n(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((90 + 10n) + n(9 + n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (90 + 10n + (9 * n + n * n))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (90 + 10n + (9n + n2))(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 10n + 9n = 19n (90 + 19n + n2)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (90 + 19n + n2) * (8 + n) (90(8 + n) + 19n * (8 + n) + n2(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((8 * 90 + n * 90) + 19n * (8 + n) + n2(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((720 + 90n) + 19n * (8 + n) + n2(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (720 + 90n + (8 * 19n + n * 19n) + n2(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (720 + 90n + (152n + 19n2) + n2(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (720 + 90n + 152n + 19n2 + (8 * n2 + n * n2))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (720 + 90n + 152n + 19n2 + (8n2 + n3))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 90n + 152n = 242n (720 + 242n + 19n2 + 8n2 + n3)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 19n2 + 8n2 = 27n2 (720 + 242n + 27n2 + n3)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (720 + 242n + 27n2 + n3) * (7 + n) (720(7 + n) + 242n * (7 + n) + 27n2 * (7 + n) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((7 * 720 + n * 720) + 242n * (7 + n) + 27n2 * (7 + n) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((5040 + 720n) + 242n * (7 + n) + 27n2 * (7 + n) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + (7 * 242n + n * 242n) + 27n2 * (7 + n) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + (1694n + 242n2) + 27n2 * (7 + n) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + 1694n + 242n2 + (7 * 27n2 + n * 27n2) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + 1694n + 242n2 + (189n2 + 27n3) + n3(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + 1694n + 242n2 + 189n2 + 27n3 + (7 * n3 + n * n3))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 (5040 + 720n + 1694n + 242n2 + 189n2 + 27n3 + (7n3 + n4))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 720n + 1694n = 2414n (5040 + 2414n + 242n2 + 189n2 + 27n3 + 7n3 + n4)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 242n2 + 189n2 = 431n2 (5040 + 2414n + 431n2 + 27n3 + 7n3 + n4)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 27n3 + 7n3 = 34n3 (5040 + 2414n + 431n2 + 34n3 + n4)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (5040 + 2414n + 431n2 + 34n3 + n4) * (6 + n) (5040(6 + n) + 2414n * (6 + n) + 431n2 * (6 + n) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((6 * 5040 + n * 5040) + 2414n * (6 + n) + 431n2 * (6 + n) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 ((30240 + 5040n) + 2414n * (6 + n) + 431n2 * (6 + n) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + (6 * 2414n + n * 2414n) + 431n2 * (6 + n) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + (14484n + 2414n2) + 431n2 * (6 + n) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + (6 * 431n2 + n * 431n2) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + (2586n2 + 431n3) + 34n3 * (6 + n) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + 2586n2 + 431n3 + (6 * 34n3 + n * 34n3) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + 2586n2 + 431n3 + (204n3 + 34n4) + n4(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + 2586n2 + 431n3 + 204n3 + 34n4 + (6 * n4 + n * n4))(5 + n)(4 + n)(3 + n)(2 + n) = 0 (30240 + 5040n + 14484n + 2414n2 + 2586n2 + 431n3 + 204n3 + 34n4 + (6n4 + n5))(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 5040n + 14484n = 19524n (30240 + 19524n + 2414n2 + 2586n2 + 431n3 + 204n3 + 34n4 + 6n4 + n5)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 2414n2 + 2586n2 = 5000n2 (30240 + 19524n + 5000n2 + 431n3 + 204n3 + 34n4 + 6n4 + n5)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 431n3 + 204n3 = 635n3 (30240 + 19524n + 5000n2 + 635n3 + 34n4 + 6n4 + n5)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 34n4 + 6n4 = 40n4 (30240 + 19524n + 5000n2 + 635n3 + 40n4 + n5)(5 + n)(4 + n)(3 + n)(2 + n) = 0 Multiply (30240 + 19524n + 5000n2 + 635n3 + 40n4 + n5) * (5 + n) (30240(5 + n) + 19524n * (5 + n) + 5000n2 * (5 + n) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 ((5 * 30240 + n * 30240) + 19524n * (5 + n) + 5000n2 * (5 + n) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 ((151200 + 30240n) + 19524n * (5 + n) + 5000n2 * (5 + n) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + (5 * 19524n + n * 19524n) + 5000n2 * (5 + n) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + (97620n + 19524n2) + 5000n2 * (5 + n) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + (5 * 5000n2 + n * 5000n2) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + (25000n2 + 5000n3) + 635n3 * (5 + n) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + (5 * 635n3 + n * 635n3) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + (3175n3 + 635n4) + 40n4 * (5 + n) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + 3175n3 + 635n4 + (5 * 40n4 + n * 40n4) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + 3175n3 + 635n4 + (200n4 + 40n5) + n5(5 + n))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + 3175n3 + 635n4 + 200n4 + 40n5 + (5 * n5 + n * n5))(4 + n)(3 + n)(2 + n) = 0 (151200 + 30240n + 97620n + 19524n2 + 25000n2 + 5000n3 + 3175n3 + 635n4 + 200n4 + 40n5 + (5n5 + n6))(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 30240n + 97620n = 127860n (151200 + 127860n + 19524n2 + 25000n2 + 5000n3 + 3175n3 + 635n4 + 200n4 + 40n5 + 5n5 + n6)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 19524n2 + 25000n2 = 44524n2 (151200 + 127860n + 44524n2 + 5000n3 + 3175n3 + 635n4 + 200n4 + 40n5 + 5n5 + n6)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 5000n3 + 3175n3 = 8175n3 (151200 + 127860n + 44524n2 + 8175n3 + 635n4 + 200n4 + 40n5 + 5n5 + n6)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 635n4 + 200n4 = 835n4 (151200 + 127860n + 44524n2 + 8175n3 + 835n4 + 40n5 + 5n5 + n6)(4 + n)(3 + n)(2 + n) = 0 Combine like terms: 40n5 + 5n5 = 45n5 (151200 + 127860n + 44524n2 + 8175n3 + 835n4 + 45n5 + n6)(4 + n)(3 + n)(2 + n) = 0 Multiply (151200 + 127860n + 44524n2 + 8175n3 + 835n4 + 45n5 + n6) * (4 + n) (151200(4 + n) + 127860n * (4 + n) + 44524n2 * (4 + n) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 ((4 * 151200 + n * 151200) + 127860n * (4 + n) + 44524n2 * (4 + n) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 ((604800 + 151200n) + 127860n * (4 + n) + 44524n2 * (4 + n) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + (4 * 127860n + n * 127860n) + 44524n2 * (4 + n) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + (511440n + 127860n2) + 44524n2 * (4 + n) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + (4 * 44524n2 + n * 44524n2) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + (178096n2 + 44524n3) + 8175n3 * (4 + n) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + (4 * 8175n3 + n * 8175n3) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + (32700n3 + 8175n4) + 835n4 * (4 + n) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + (4 * 835n4 + n * 835n4) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + (3340n4 + 835n5) + 45n5 * (4 + n) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + (4 * 45n5 + n * 45n5) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + (180n5 + 45n6) + n6(4 + n))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + 180n5 + 45n6 + (4 * n6 + n * n6))(3 + n)(2 + n) = 0 (604800 + 151200n + 511440n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + 180n5 + 45n6 + (4n6 + n7))(3 + n)(2 + n) = 0 Combine like terms: 151200n + 511440n = 662640n (604800 + 662640n + 127860n2 + 178096n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + 180n5 + 45n6 + 4n6 + n7)(3 + n)(2 + n) = 0 Combine like terms: 127860n2 + 178096n2 = 305956n2 (604800 + 662640n + 305956n2 + 44524n3 + 32700n3 + 8175n4 + 3340n4 + 835n5 + 180n5 + 45n6 + 4n6 + n7)(3 + n)(2 + n) = 0 Combine like terms: 44524n3 + 32700n3 = 77224n3 (604800 + 662640n + 305956n2 + 77224n3 + 8175n4 + 3340n4 + 835n5 + 180n5 + 45n6 + 4n6 + n7)(3 + n)(2 + n) = 0 Combine like terms: 8175n4 + 3340n4 = 11515n4 (604800 + 662640n + 305956n2 + 77224n3 + 11515n4 + 835n5 + 180n5 + 45n6 + 4n6 + n7)(3 + n)(2 + n) = 0 Combine like terms: 835n5 + 180n5 = 1015n5 (604800 + 662640n + 305956n2 + 77224n3 + 11515n4 + 1015n5 + 45n6 + 4n6 + n7)(3 + n)(2 + n) = 0 Combine like terms: 45n6 + 4n6 = 49n6 (604800 + 662640n + 305956n2 + 77224n3 + 11515n4 + 1015n5 + 49n6 + n7)(3 + n)(2 + n) = 0 Multiply (604800 + 662640n + 305956n2 + 77224n3 + 11515n4 + 1015n5 + 49n6 + n7) * (3 + n) (604800(3 + n) + 662640n * (3 + n) + 305956n2 * (3 + n) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 ((3 * 604800 + n * 604800) + 662640n * (3 + n) + 305956n2 * (3 + n) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 ((1814400 + 604800n) + 662640n * (3 + n) + 305956n2 * (3 + n) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + (3 * 662640n + n * 662640n) + 305956n2 * (3 + n) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + (1987920n + 662640n2) + 305956n2 * (3 + n) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + (3 * 305956n2 + n * 305956n2) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + (917868n2 + 305956n3) + 77224n3 * (3 + n) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + (3 * 77224n3 + n * 77224n3) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + (231672n3 + 77224n4) + 11515n4 * (3 + n) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + (3 * 11515n4 + n * 11515n4) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + (34545n4 + 11515n5) + 1015n5 * (3 + n) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + (3 * 1015n5 + n * 1015n5) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + (3045n5 + 1015n6) + 49n6 * (3 + n) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + (3 * 49n6 + n * 49n6) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + (147n6 + 49n7) + n7(3 + n))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + (3 * n7 + n * n7))(2 + n) = 0 (1814400 + 604800n + 1987920n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + (3n7 + n8))(2 + n) = 0 Combine like terms: 604800n + 1987920n = 2592720n (1814400 + 2592720n + 662640n2 + 917868n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 662640n2 + 917868n2 = 1580508n2 (1814400 + 2592720n + 1580508n2 + 305956n3 + 231672n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 305956n3 + 231672n3 = 537628n3 (1814400 + 2592720n + 1580508n2 + 537628n3 + 77224n4 + 34545n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 77224n4 + 34545n4 = 111769n4 (1814400 + 2592720n + 1580508n2 + 537628n3 + 111769n4 + 11515n5 + 3045n5 + 1015n6 + 147n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 11515n5 + 3045n5 = 14560n5 (1814400 + 2592720n + 1580508n2 + 537628n3 + 111769n4 + 14560n5 + 1015n6 + 147n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 1015n6 + 147n6 = 1162n6 (1814400 + 2592720n + 1580508n2 + 537628n3 + 111769n4 + 14560n5 + 1162n6 + 49n7 + 3n7 + n8)(2 + n) = 0 Combine like terms: 49n7 + 3n7 = 52n7 (1814400 + 2592720n + 1580508n2 + 537628n3 + 111769n4 + 14560n5 + 1162n6 + 52n7 + n8)(2 + n) = 0 Multiply (1814400 + 2592720n + 1580508n2 + 537628n3 + 111769n4 + 14560n5 + 1162n6 + 52n7 + n8) * (2 + n) (1814400(2 + n) + 2592720n * (2 + n) + 1580508n2 * (2 + n) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 ((2 * 1814400 + n * 1814400) + 2592720n * (2 + n) + 1580508n2 * (2 + n) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 ((3628800 + 1814400n) + 2592720n * (2 + n) + 1580508n2 * (2 + n) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + (2 * 2592720n + n * 2592720n) + 1580508n2 * (2 + n) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + (5185440n + 2592720n2) + 1580508n2 * (2 + n) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + (2 * 1580508n2 + n * 1580508n2) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + (3161016n2 + 1580508n3) + 537628n3 * (2 + n) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + (2 * 537628n3 + n * 537628n3) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + (1075256n3 + 537628n4) + 111769n4 * (2 + n) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + (2 * 111769n4 + n * 111769n4) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + (223538n4 + 111769n5) + 14560n5 * (2 + n) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + (2 * 14560n5 + n * 14560n5) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + (29120n5 + 14560n6) + 1162n6 * (2 + n) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + (2 * 1162n6 + n * 1162n6) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + (2324n6 + 1162n7) + 52n7 * (2 + n) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + (2 * 52n7 + n * 52n7) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + (104n7 + 52n8) + n8(2 + n)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + (2 * n8 + n * n8)) = 0 (3628800 + 1814400n + 5185440n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + (2n8 + n9)) = 0 Combine like terms: 1814400n + 5185440n = 6999840n (3628800 + 6999840n + 2592720n2 + 3161016n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 2592720n2 + 3161016n2 = 5753736n2 (3628800 + 6999840n + 5753736n2 + 1580508n3 + 1075256n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 1580508n3 + 1075256n3 = 2655764n3 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 537628n4 + 223538n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 537628n4 + 223538n4 = 761166n4 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 111769n5 + 29120n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 111769n5 + 29120n5 = 140889n5 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 140889n5 + 14560n6 + 2324n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 14560n6 + 2324n6 = 16884n6 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 140889n5 + 16884n6 + 1162n7 + 104n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 1162n7 + 104n7 = 1266n7 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 140889n5 + 16884n6 + 1266n7 + 52n8 + 2n8 + n9) = 0 Combine like terms: 52n8 + 2n8 = 54n8 (3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 140889n5 + 16884n6 + 1266n7 + 54n8 + n9) = 0 Solving 3628800 + 6999840n + 5753736n2 + 2655764n3 + 761166n4 + 140889n5 + 16884n6 + 1266n7 + 54n8 + n9 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| (3x-7)(2x+3)=0 | | 2x+14=2x-20 | | .08p=7.50+.05p | | 6x+5=-2x+8 | | 7(3w-10)=35 | | 2000+9c=17c | | x*(10-5)-10000=0 | | 0.15x=6.3 | | 6.3=0.15 | | k^2-16=6k | | 0.15=6.3 | | 30-0.8x= | | 8x-4=14+6 | | 6b-(4+3)=10 | | x+4x+3(x+1)=7x-6 | | 63=x+.4x | | 25-4n=101 | | 8(1[u-3]1)=16 | | N+112=25.1 | | 5(y+6)-2=18 | | 3p+3p=36 | | 2(1[3u+7]1)=68 | | 8x-6=2x+30 | | 19+112=25.1 | | (3a-2b+1)-(a-b-3)-(a+5b-2)= | | R=x(A+B)solveb | | 7+6n-11-8n=15 | | 1200=3x^3-6x^2-300x+1800 | | ln(x-9)=ln(10) | | 6(x+4)=4x-14 | | ln(x+9)=ln(10) | | (-2y^10)x(-10y^2)= |