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Simplifying (9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(n + -1)(n + -2) = 0 Reorder the terms: (9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(n + -2) = 0 Reorder the terms: (9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (9 + n) * (8 + n) (9(8 + n) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((8 * 9 + n * 9) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((72 + 9n) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (72 + 9n + (8 * n + n * n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (72 + 9n + (8n + n2))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 9n + 8n = 17n (72 + 17n + n2)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (72 + 17n + n2) * (7 + n) (72(7 + n) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((7 * 72 + n * 72) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((504 + 72n) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (504 + 72n + (7 * 17n + n * 17n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (504 + 72n + (119n + 17n2) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (504 + 72n + 119n + 17n2 + (7 * n2 + n * n2))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (504 + 72n + 119n + 17n2 + (7n2 + n3))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 72n + 119n = 191n (504 + 191n + 17n2 + 7n2 + n3)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 17n2 + 7n2 = 24n2 (504 + 191n + 24n2 + n3)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (504 + 191n + 24n2 + n3) * (6 + n) (504(6 + n) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((6 * 504 + n * 504) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((3024 + 504n) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + (6 * 191n + n * 191n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + (1146n + 191n2) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + 1146n + 191n2 + (6 * 24n2 + n * 24n2) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + 1146n + 191n2 + (144n2 + 24n3) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6 * n3 + n * n3))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6n3 + n4))(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 504n + 1146n = 1650n (3024 + 1650n + 191n2 + 144n2 + 24n3 + 6n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 191n2 + 144n2 = 335n2 (3024 + 1650n + 335n2 + 24n3 + 6n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 24n3 + 6n3 = 30n3 (3024 + 1650n + 335n2 + 30n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (3024 + 1650n + 335n2 + 30n3 + n4) * (5 + n) (3024(5 + n) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((5 * 3024 + n * 3024) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((15120 + 3024n) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + (5 * 1650n + n * 1650n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + (8250n + 1650n2) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + (5 * 335n2 + n * 335n2) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + (1675n2 + 335n3) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (5 * 30n3 + n * 30n3) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (150n3 + 30n4) + n4(5 + n))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5 * n4 + n * n4))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5n4 + n5))(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 3024n + 8250n = 11274n (15120 + 11274n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 1650n2 + 1675n2 = 3325n2 (15120 + 11274n + 3325n2 + 335n3 + 150n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 335n3 + 150n3 = 485n3 (15120 + 11274n + 3325n2 + 485n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 30n4 + 5n4 = 35n4 (15120 + 11274n + 3325n2 + 485n3 + 35n4 + n5)(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (15120 + 11274n + 3325n2 + 485n3 + 35n4 + n5) * (4 + n) (15120(4 + n) + 11274n * (4 + n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((4 * 15120 + n * 15120) + 11274n * (4 + n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 ((60480 + 15120n) + 11274n * (4 + n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + (4 * 11274n + n * 11274n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + (45096n + 11274n2) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + (4 * 3325n2 + n * 3325n2) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + (13300n2 + 3325n3) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (4 * 485n3 + n * 485n3) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (1940n3 + 485n4) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (4 * 35n4 + n * 35n4) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (140n4 + 35n5) + n5(4 + n))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4 * n5 + n * n5))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 (60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4n5 + n6))(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 15120n + 45096n = 60216n (60480 + 60216n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 11274n2 + 13300n2 = 24574n2 (60480 + 60216n + 24574n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 3325n3 + 1940n3 = 5265n3 (60480 + 60216n + 24574n2 + 5265n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 485n4 + 140n4 = 625n4 (60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 35n5 + 4n5 = 39n5 (60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 39n5 + n6)(3 + n)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 39n5 + n6) * (3 + n) (60480(3 + n) + 60216n * (3 + n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 ((3 * 60480 + n * 60480) + 60216n * (3 + n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 ((181440 + 60480n) + 60216n * (3 + n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + (3 * 60216n + n * 60216n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + (180648n + 60216n2) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + (3 * 24574n2 + n * 24574n2) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + (73722n2 + 24574n3) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + (3 * 5265n3 + n * 5265n3) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + (15795n3 + 5265n4) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (3 * 625n4 + n * 625n4) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (1875n4 + 625n5) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (3 * 39n5 + n * 39n5) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (117n5 + 39n6) + n6(3 + n))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3 * n6 + n * n6))(2 + n)(-1 + n)(-2 + n) = 0 (181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3n6 + n7))(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 60480n + 180648n = 241128n (181440 + 241128n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 60216n2 + 73722n2 = 133938n2 (181440 + 241128n + 133938n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 24574n3 + 15795n3 = 40369n3 (181440 + 241128n + 133938n2 + 40369n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 5265n4 + 1875n4 = 7140n4 (181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 625n5 + 117n5 = 742n5 (181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 39n6 + 3n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 39n6 + 3n6 = 42n6 (181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 42n6 + n7)(2 + n)(-1 + n)(-2 + n) = 0 Multiply (181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 42n6 + n7) * (2 + n) (181440(2 + n) + 241128n * (2 + n) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 ((2 * 181440 + n * 181440) + 241128n * (2 + n) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 ((362880 + 181440n) + 241128n * (2 + n) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + (2 * 241128n + n * 241128n) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + (482256n + 241128n2) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + (2 * 133938n2 + n * 133938n2) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + (267876n2 + 133938n3) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + (2 * 40369n3 + n * 40369n3) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + (80738n3 + 40369n4) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (2 * 7140n4 + n * 7140n4) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (14280n4 + 7140n5) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (2 * 742n5 + n * 742n5) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (1484n5 + 742n6) + 42n6 * (2 + n) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (2 * 42n6 + n * 42n6) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (84n6 + 42n7) + n7(2 + n))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2 * n7 + n * n7))(-1 + n)(-2 + n) = 0 (362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2n7 + n8))(-1 + n)(-2 + n) = 0 Combine like terms: 181440n + 482256n = 663696n (362880 + 663696n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 241128n2 + 267876n2 = 509004n2 (362880 + 663696n + 509004n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 133938n3 + 80738n3 = 214676n3 (362880 + 663696n + 509004n2 + 214676n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 40369n4 + 14280n4 = 54649n4 (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 7140n5 + 1484n5 = 8624n5 (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 742n6 + 84n6 = 826n6 (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 42n7 + 2n7 + n8)(-1 + n)(-2 + n) = 0 Combine like terms: 42n7 + 2n7 = 44n7 (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8)(-1 + n)(-2 + n) = 0 Multiply (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8) * (-1 + n) (362880(-1 + n) + 663696n * (-1 + n) + 509004n2 * (-1 + n) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 ((-1 * 362880 + n * 362880) + 663696n * (-1 + n) + 509004n2 * (-1 + n) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 ((-362880 + 362880n) + 663696n * (-1 + n) + 509004n2 * (-1 + n) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + (-1 * 663696n + n * 663696n) + 509004n2 * (-1 + n) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + (-663696n + 663696n2) + 509004n2 * (-1 + n) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + (-1 * 509004n2 + n * 509004n2) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + (-509004n2 + 509004n3) + 214676n3 * (-1 + n) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + (-1 * 214676n3 + n * 214676n3) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + (-214676n3 + 214676n4) + 54649n4 * (-1 + n) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + (-1 * 54649n4 + n * 54649n4) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + (-54649n4 + 54649n5) + 8624n5 * (-1 + n) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + (-1 * 8624n5 + n * 8624n5) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + (-8624n5 + 8624n6) + 826n6 * (-1 + n) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + (-1 * 826n6 + n * 826n6) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + (-826n6 + 826n7) + 44n7 * (-1 + n) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + (-1 * 44n7 + n * 44n7) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + (-44n7 + 44n8) + n8(-1 + n))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + (-1 * n8 + n * n8))(-2 + n) = 0 (-362880 + 362880n + -663696n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + (-1n8 + n9))(-2 + n) = 0 Combine like terms: 362880n + -663696n = -300816n (-362880 + -300816n + 663696n2 + -509004n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 663696n2 + -509004n2 = 154692n2 (-362880 + -300816n + 154692n2 + 509004n3 + -214676n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 509004n3 + -214676n3 = 294328n3 (-362880 + -300816n + 154692n2 + 294328n3 + 214676n4 + -54649n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 214676n4 + -54649n4 = 160027n4 (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 54649n5 + -8624n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 54649n5 + -8624n5 = 46025n5 (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 46025n5 + 8624n6 + -826n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 8624n6 + -826n6 = 7798n6 (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 46025n5 + 7798n6 + 826n7 + -44n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 826n7 + -44n7 = 782n7 (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 46025n5 + 7798n6 + 782n7 + 44n8 + -1n8 + n9)(-2 + n) = 0 Combine like terms: 44n8 + -1n8 = 43n8 (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 46025n5 + 7798n6 + 782n7 + 43n8 + n9)(-2 + n) = 0 Multiply (-362880 + -300816n + 154692n2 + 294328n3 + 160027n4 + 46025n5 + 7798n6 + 782n7 + 43n8 + n9) * (-2 + n) (-362880(-2 + n) + -300816n * (-2 + n) + 154692n2 * (-2 + n) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 ((-2 * -362880 + n * -362880) + -300816n * (-2 + n) + 154692n2 * (-2 + n) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 ((725760 + -362880n) + -300816n * (-2 + n) + 154692n2 * (-2 + n) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + (-2 * -300816n + n * -300816n) + 154692n2 * (-2 + n) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + (601632n + -300816n2) + 154692n2 * (-2 + n) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + (-2 * 154692n2 + n * 154692n2) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + (-309384n2 + 154692n3) + 294328n3 * (-2 + n) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + (-2 * 294328n3 + n * 294328n3) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + (-588656n3 + 294328n4) + 160027n4 * (-2 + n) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + (-2 * 160027n4 + n * 160027n4) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + (-320054n4 + 160027n5) + 46025n5 * (-2 + n) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + (-2 * 46025n5 + n * 46025n5) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + (-92050n5 + 46025n6) + 7798n6 * (-2 + n) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + (-2 * 7798n6 + n * 7798n6) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + (-15596n6 + 7798n7) + 782n7 * (-2 + n) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + (-2 * 782n7 + n * 782n7) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + (-1564n7 + 782n8) + 43n8 * (-2 + n) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + (-2 * 43n8 + n * 43n8) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + (-86n8 + 43n9) + n9(-2 + n)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + (-2 * n9 + n * n9)) = 0 (725760 + -362880n + 601632n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + (-2n9 + n10)) = 0 Combine like terms: -362880n + 601632n = 238752n (725760 + 238752n + -300816n2 + -309384n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: -300816n2 + -309384n2 = -610200n2 (725760 + 238752n + -610200n2 + 154692n3 + -588656n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 154692n3 + -588656n3 = -433964n3 (725760 + 238752n + -610200n2 + -433964n3 + 294328n4 + -320054n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 294328n4 + -320054n4 = -25726n4 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 160027n5 + -92050n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 160027n5 + -92050n5 = 67977n5 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 46025n6 + -15596n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 46025n6 + -15596n6 = 30429n6 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 30429n6 + 7798n7 + -1564n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 7798n7 + -1564n7 = 6234n7 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 30429n6 + 6234n7 + 782n8 + -86n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 782n8 + -86n8 = 696n8 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 30429n6 + 6234n7 + 696n8 + 43n9 + -2n9 + n10) = 0 Combine like terms: 43n9 + -2n9 = 41n9 (725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 30429n6 + 6234n7 + 696n8 + 41n9 + n10) = 0 Solving 725760 + 238752n + -610200n2 + -433964n3 + -25726n4 + 67977n5 + 30429n6 + 6234n7 + 696n8 + 41n9 + n10 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
| 17-x=1/3*3 | | 2x^2+-1= | | 17-x=1/3*17+6 | | y=3mx-8b | | 7x+4=58 | | 4ln(5x+5)=2 | | 8+3lnx=5 | | 2x+36x=90 | | (x+12)(y+12)=169 | | 3x+(-5)=55 | | y^2+5y-26=0 | | 1/2(x-7)=5 | | 10x^2+20x-18=0 | | 3x-2(x+y)= | | (2a-3b-4c)(2a-3b)=0 | | -5x^2+-8x^2=121 | | 40x+40y= | | 72-x=36 | | 5(x-y)=65 | | 12x^3+4x-3=0 | | 9x^2+12=3x^2-24 | | 3x-9=6+4x | | ydx-(x+y^2)dy=0 | | 3x-9=6+4 | | g(x)=0(0)(0)-5 | | g(x)=4(4)(4)-5 | | X^2-4x=2x-33 | | 2=7x-2+3x-1 | | 1.5(4-n)+2.8= | | y=2(e^2x) | | f(x)=7+0 | | -4x^2-6x+18=0 |