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Simplifying (9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n) * 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(-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) * n(-1 + n)(-2 + n) = 0 Reorder the terms for easier multiplication: n(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (9 + n) * (8 + n) n(9(8 + n) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((8 * 9 + n * 9) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((72 + 9n) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(72 + 9n + (8 * n + n * n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(72 + 9n + (8n + n2))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 9n + 8n = 17n n(72 + 17n + n2)(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (72 + 17n + n2) * (7 + n) n(72(7 + n) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((7 * 72 + n * 72) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((504 + 72n) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(504 + 72n + (7 * 17n + n * 17n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(504 + 72n + (119n + 17n2) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(504 + 72n + 119n + 17n2 + (7 * n2 + n * n2))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(504 + 72n + 119n + 17n2 + (7n2 + n3))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 72n + 119n = 191n n(504 + 191n + 17n2 + 7n2 + n3)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 17n2 + 7n2 = 24n2 n(504 + 191n + 24n2 + n3)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (504 + 191n + 24n2 + n3) * (6 + n) n(504(6 + n) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((6 * 504 + n * 504) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((3024 + 504n) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + (6 * 191n + n * 191n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + (1146n + 191n2) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + 1146n + 191n2 + (6 * 24n2 + n * 24n2) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + 1146n + 191n2 + (144n2 + 24n3) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6 * n3 + n * n3))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6n3 + n4))(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 504n + 1146n = 1650n n(3024 + 1650n + 191n2 + 144n2 + 24n3 + 6n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 191n2 + 144n2 = 335n2 n(3024 + 1650n + 335n2 + 24n3 + 6n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 24n3 + 6n3 = 30n3 n(3024 + 1650n + 335n2 + 30n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (3024 + 1650n + 335n2 + 30n3 + n4) * (5 + n) n(3024(5 + n) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((5 * 3024 + n * 3024) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n((15120 + 3024n) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + (5 * 1650n + n * 1650n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + (8250n + 1650n2) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + (5 * 335n2 + n * 335n2) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + (1675n2 + 335n3) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (5 * 30n3 + n * 30n3) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (150n3 + 30n4) + n4(5 + n))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5 * n4 + n * n4))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5n4 + n5))(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 3024n + 8250n = 11274n n(15120 + 11274n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 1650n2 + 1675n2 = 3325n2 n(15120 + 11274n + 3325n2 + 335n3 + 150n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 335n3 + 150n3 = 485n3 n(15120 + 11274n + 3325n2 + 485n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 30n4 + 5n4 = 35n4 n(15120 + 11274n + 3325n2 + 485n3 + 35n4 + n5)(4 + n)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (15120 + 11274n + 3325n2 + 485n3 + 35n4 + n5) * (4 + n) 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)(-1 + n)(-2 + n) = 0 n((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)(-1 + n)(-2 + n) = 0 n((60480 + 15120n) + 11274n * (4 + n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + (4 * 11274n + n * 11274n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + (45096n + 11274n2) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + (4 * 3325n2 + n * 3325n2) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + (13300n2 + 3325n3) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (4 * 485n3 + n * 485n3) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (1940n3 + 485n4) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (4 * 35n4 + n * 35n4) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (140n4 + 35n5) + n5(4 + n))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4 * n5 + n * n5))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4n5 + n6))(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 15120n + 45096n = 60216n n(60480 + 60216n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 11274n2 + 13300n2 = 24574n2 n(60480 + 60216n + 24574n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 3325n3 + 1940n3 = 5265n3 n(60480 + 60216n + 24574n2 + 5265n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 485n4 + 140n4 = 625n4 n(60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 35n5 + 4n5 = 39n5 n(60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 39n5 + n6)(3 + n)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 39n5 + n6) * (3 + n) 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)(-1 + n)(-2 + n) = 0 n((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)(-1 + n)(-2 + n) = 0 n((181440 + 60480n) + 60216n * (3 + n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(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)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + (180648n + 60216n2) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + (3 * 24574n2 + n * 24574n2) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + (73722n2 + 24574n3) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + (3 * 5265n3 + n * 5265n3) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + (15795n3 + 5265n4) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (3 * 625n4 + n * 625n4) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (1875n4 + 625n5) + 39n5 * (3 + n) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (3 * 39n5 + n * 39n5) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (117n5 + 39n6) + n6(3 + n))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3 * n6 + n * n6))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 n(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3n6 + n7))(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 60480n + 180648n = 241128n n(181440 + 241128n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 60216n2 + 73722n2 = 133938n2 n(181440 + 241128n + 133938n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 24574n3 + 15795n3 = 40369n3 n(181440 + 241128n + 133938n2 + 40369n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 5265n4 + 1875n4 = 7140n4 n(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 625n5 + 117n5 = 742n5 n(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 39n6 + 3n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 39n6 + 3n6 = 42n6 n(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 42n6 + n7)(2 + n)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 42n6 + n7) * (2 + n) 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)(-1 + n)(-2 + n) = 0 n((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)(-1 + n)(-2 + n) = 0 n((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)(-1 + n)(-2 + n) = 0 n(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)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + (482256n + 241128n2) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(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)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + (267876n2 + 133938n3) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + (2 * 40369n3 + n * 40369n3) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + (80738n3 + 40369n4) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (2 * 7140n4 + n * 7140n4) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (14280n4 + 7140n5) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (2 * 742n5 + n * 742n5) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (1484n5 + 742n6) + 42n6 * (2 + n) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (2 * 42n6 + n * 42n6) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (84n6 + 42n7) + n7(2 + n))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2 * n7 + n * n7))(1 + n)(-1 + n)(-2 + n) = 0 n(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2n7 + n8))(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 181440n + 482256n = 663696n n(362880 + 663696n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 241128n2 + 267876n2 = 509004n2 n(362880 + 663696n + 509004n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 133938n3 + 80738n3 = 214676n3 n(362880 + 663696n + 509004n2 + 214676n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 40369n4 + 14280n4 = 54649n4 n(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 7140n5 + 1484n5 = 8624n5 n(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 742n6 + 84n6 = 826n6 n(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 42n7 + 2n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Combine like terms: 42n7 + 2n7 = 44n7 n(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8)(1 + n)(-1 + n)(-2 + n) = 0 Multiply (362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8) * (1 + n) 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))(-1 + n)(-2 + n) = 0 n((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))(-1 + n)(-2 + n) = 0 n((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))(-1 + n)(-2 + n) = 0 n(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))(-1 + n)(-2 + n) = 0 n(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))(-1 + n)(-2 + n) = 0 n(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))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + (509004n2 + 509004n3) + 214676n3 * (1 + n) + 54649n4 * (1 + n) + 8624n5 * (1 + n) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(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))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + (214676n3 + 214676n4) + 54649n4 * (1 + n) + 8624n5 * (1 + n) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + (1 * 54649n4 + n * 54649n4) + 8624n5 * (1 + n) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + (54649n4 + 54649n5) + 8624n5 * (1 + n) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + (1 * 8624n5 + n * 8624n5) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + (8624n5 + 8624n6) + 826n6 * (1 + n) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + (1 * 826n6 + n * 826n6) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + (826n6 + 826n7) + 44n7 * (1 + n) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + (1 * 44n7 + n * 44n7) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + (44n7 + 44n8) + n8(1 + n))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + (1 * n8 + n * n8))(-1 + n)(-2 + n) = 0 n(362880 + 362880n + 663696n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + (1n8 + n9))(-1 + n)(-2 + n) = 0 Combine like terms: 362880n + 663696n = 1026576n n(362880 + 1026576n + 663696n2 + 509004n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 663696n2 + 509004n2 = 1172700n2 n(362880 + 1026576n + 1172700n2 + 509004n3 + 214676n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 509004n3 + 214676n3 = 723680n3 n(362880 + 1026576n + 1172700n2 + 723680n3 + 214676n4 + 54649n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 214676n4 + 54649n4 = 269325n4 n(362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 54649n5 + 8624n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 54649n5 + 8624n5 = 63273n5 n(362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 63273n5 + 8624n6 + 826n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 8624n6 + 826n6 = 9450n6 n(362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 63273n5 + 9450n6 + 826n7 + 44n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 826n7 + 44n7 = 870n7 n(362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 63273n5 + 9450n6 + 870n7 + 44n8 + 1n8 + n9)(-1 + n)(-2 + n) = 0 Combine like terms: 44n8 + 1n8 = 45n8 n(362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 63273n5 + 9450n6 + 870n7 + 45n8 + n9)(-1 + n)(-2 + n) = 0 Multiply (362880 + 1026576n + 1172700n2 + 723680n3 + 269325n4 + 63273n5 + 9450n6 + 870n7 + 45n8 + n9) * (-1 + n) n(362880(-1 + n) + 1026576n * (-1 + n) + 1172700n2 * (-1 + n) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n((-1 * 362880 + n * 362880) + 1026576n * (-1 + n) + 1172700n2 * (-1 + n) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n((-362880 + 362880n) + 1026576n * (-1 + n) + 1172700n2 * (-1 + n) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + (-1 * 1026576n + n * 1026576n) + 1172700n2 * (-1 + n) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + (-1026576n + 1026576n2) + 1172700n2 * (-1 + n) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + (-1 * 1172700n2 + n * 1172700n2) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + (-1172700n2 + 1172700n3) + 723680n3 * (-1 + n) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + (-1 * 723680n3 + n * 723680n3) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + (-723680n3 + 723680n4) + 269325n4 * (-1 + n) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + (-1 * 269325n4 + n * 269325n4) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + (-269325n4 + 269325n5) + 63273n5 * (-1 + n) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + (-1 * 63273n5 + n * 63273n5) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + (-63273n5 + 63273n6) + 9450n6 * (-1 + n) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + (-1 * 9450n6 + n * 9450n6) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + (-9450n6 + 9450n7) + 870n7 * (-1 + n) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + (-1 * 870n7 + n * 870n7) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + (-870n7 + 870n8) + 45n8 * (-1 + n) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + (-1 * 45n8 + n * 45n8) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + (-45n8 + 45n9) + n9(-1 + n))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + (-1 * n9 + n * n9))(-2 + n) = 0 n(-362880 + 362880n + -1026576n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + (-1n9 + n10))(-2 + n) = 0 Combine like terms: 362880n + -1026576n = -663696n n(-362880 + -663696n + 1026576n2 + -1172700n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 1026576n2 + -1172700n2 = -146124n2 n(-362880 + -663696n + -146124n2 + 1172700n3 + -723680n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 1172700n3 + -723680n3 = 449020n3 n(-362880 + -663696n + -146124n2 + 449020n3 + 723680n4 + -269325n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 723680n4 + -269325n4 = 454355n4 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 269325n5 + -63273n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 269325n5 + -63273n5 = 206052n5 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 63273n6 + -9450n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 63273n6 + -9450n6 = 53823n6 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 53823n6 + 9450n7 + -870n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 9450n7 + -870n7 = 8580n7 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 53823n6 + 8580n7 + 870n8 + -45n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 870n8 + -45n8 = 825n8 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 53823n6 + 8580n7 + 825n8 + 45n9 + -1n9 + n10)(-2 + n) = 0 Combine like terms: 45n9 + -1n9 = 44n9 n(-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 53823n6 + 8580n7 + 825n8 + 44n9 + n10)(-2 + n) = 0 Multiply (-362880 + -663696n + -146124n2 + 449020n3 + 454355n4 + 206052n5 + 53823n6 + 8580n7 + 825n8 + 44n9 + n10) * (-2 + n) n(-362880(-2 + n) + -663696n * (-2 + n) + -146124n2 * (-2 + n) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n((-2 * -362880 + n * -362880) + -663696n * (-2 + n) + -146124n2 * (-2 + n) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n((725760 + -362880n) + -663696n * (-2 + n) + -146124n2 * (-2 + n) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + (-2 * -663696n + n * -663696n) + -146124n2 * (-2 + n) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + (1327392n + -663696n2) + -146124n2 * (-2 + n) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + (-2 * -146124n2 + n * -146124n2) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + (292248n2 + -146124n3) + 449020n3 * (-2 + n) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + (-2 * 449020n3 + n * 449020n3) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + (-898040n3 + 449020n4) + 454355n4 * (-2 + n) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + (-2 * 454355n4 + n * 454355n4) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + (-908710n4 + 454355n5) + 206052n5 * (-2 + n) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + (-2 * 206052n5 + n * 206052n5) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + (-412104n5 + 206052n6) + 53823n6 * (-2 + n) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + (-2 * 53823n6 + n * 53823n6) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + (-107646n6 + 53823n7) + 8580n7 * (-2 + n) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + (-2 * 8580n7 + n * 8580n7) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + (-17160n7 + 8580n8) + 825n8 * (-2 + n) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + (-2 * 825n8 + n * 825n8) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + (-1650n8 + 825n9) + 44n9 * (-2 + n) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + (-2 * 44n9 + n * 44n9) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + (-88n9 + 44n10) + n10(-2 + n)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + (-2 * n10 + n * n10)) = 0 n(725760 + -362880n + 1327392n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + (-2n10 + n11)) = 0 Combine like terms: -362880n + 1327392n = 964512n n(725760 + 964512n + -663696n2 + 292248n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: -663696n2 + 292248n2 = -371448n2 n(725760 + 964512n + -371448n2 + -146124n3 + -898040n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: -146124n3 + -898040n3 = -1044164n3 n(725760 + 964512n + -371448n2 + -1044164n3 + 449020n4 + -908710n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 449020n4 + -908710n4 = -459690n4 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 454355n5 + -412104n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 454355n5 + -412104n5 = 42251n5 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 206052n6 + -107646n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 206052n6 + -107646n6 = 98406n6 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 53823n7 + -17160n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 53823n7 + -17160n7 = 36663n7 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 8580n8 + -1650n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 8580n8 + -1650n8 = 6930n8 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 825n9 + -88n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 825n9 + -88n9 = 737n9 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 44n10 + -2n10 + n11) = 0 Combine like terms: 44n10 + -2n10 = 42n10 n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 42n10 + n11) = 0 (725760 * n + 964512n * n + -371448n2 * n + -1044164n3 * n + -459690n4 * n + 42251n5 * n + 98406n6 * n + 36663n7 * n + 6930n8 * n + 737n9 * n + 42n10 * n + n11 * n) = 0 (725760n + 964512n2 + -371448n3 + -1044164n4 + -459690n5 + 42251n6 + 98406n7 + 36663n8 + 6930n9 + 737n10 + 42n11 + n12) = 0 Solving 725760n + 964512n2 + -371448n3 + -1044164n4 + -459690n5 + 42251n6 + 98406n7 + 36663n8 + 6930n9 + 737n10 + 42n11 + n12 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 42n10 + n11) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 42n10 + n11)' equal to zero and attempt to solve: Simplifying 725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 42n10 + n11 = 0 Solving 725760 + 964512n + -371448n2 + -1044164n3 + -459690n4 + 42251n5 + 98406n6 + 36663n7 + 6930n8 + 737n9 + 42n10 + n11 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
| 35=5b | | x/2-3=10 | | 8x^2+13x-6= | | -93+4x=-6x+67 | | 13x-26y=8 | | y^2-12y+292=0 | | 7u-15u-16=-72 | | v^2+4v+3= | | 2-m-1=0 | | x-48=32-7x | | 5h-9=-16-6h | | ln(x)=-57.4 | | 3x-55=-7x | | y-5-3=1 | | Y=ln(x^6) | | 3x+55=7x | | -4s+7+5s=-33 | | 3=1+x-1 | | -s^2-12s=0 | | 8b+6=ln(2c)+lnc | | 8/2x-1=1/2 | | 7r-38=6r-10 | | z^3+i= | | 3x-39=36 | | -12-5x=-6x+7 | | (7y^2-1)(7y^2+1)= | | z^2+4iz+4= | | 5/x+2=-3 | | 6x+9-10=3x+40 | | (2y^2-5)(2y^2+5)= | | 5n-4n-1=14 | | 8c-2c*3= |