(9+n)(8+n)(7+n)(6+n)(5+n)(4+n)(3+n)(2+n)=0

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Solution for (9+n)(8+n)(7+n)(6+n)(5+n)(4+n)(3+n)(2+n)=0 equation:


Simplifying
(9 + n)(8 + n)(7 + n)(6 + n)(5 + n)(4 + n)(3 + 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) = 0
((8 * 9 + n * 9) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
((72 + 9n) + n(8 + n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(72 + 9n + (8 * n + n * n))(7 + n)(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(72 + 9n + (8n + n2))(7 + n)(6 + n)(5 + n)(4 + n)(3 + 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) = 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) = 0
((7 * 72 + n * 72) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
((504 + 72n) + 17n * (7 + n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(504 + 72n + (7 * 17n + n * 17n) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(504 + 72n + (119n + 17n2) + n2(7 + n))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(504 + 72n + 119n + 17n2 + (7 * n2 + n * n2))(6 + n)(5 + n)(4 + n)(3 + n)(2 + n) = 0
(504 + 72n + 119n + 17n2 + (7n2 + n3))(6 + n)(5 + n)(4 + n)(3 + 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) = 0

Combine like terms: 17n2 + 7n2 = 24n2
(504 + 191n + 24n2 + n3)(6 + n)(5 + n)(4 + n)(3 + 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) = 0
((6 * 504 + n * 504) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
((3024 + 504n) + 191n * (6 + n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + (6 * 191n + n * 191n) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + (1146n + 191n2) + 24n2 * (6 + n) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + 1146n + 191n2 + (6 * 24n2 + n * 24n2) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + 1146n + 191n2 + (144n2 + 24n3) + n3(6 + n))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6 * n3 + n * n3))(5 + n)(4 + n)(3 + n)(2 + n) = 0
(3024 + 504n + 1146n + 191n2 + 144n2 + 24n3 + (6n3 + n4))(5 + n)(4 + n)(3 + 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) = 0

Combine like terms: 191n2 + 144n2 = 335n2
(3024 + 1650n + 335n2 + 24n3 + 6n3 + n4)(5 + n)(4 + n)(3 + n)(2 + n) = 0

Combine like terms: 24n3 + 6n3 = 30n3
(3024 + 1650n + 335n2 + 30n3 + n4)(5 + n)(4 + n)(3 + 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) = 0
((5 * 3024 + n * 3024) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
((15120 + 3024n) + 1650n * (5 + n) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + 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) = 0
(15120 + 3024n + (8250n + 1650n2) + 335n2 * (5 + n) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + (5 * 335n2 + n * 335n2) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + (1675n2 + 335n3) + 30n3 * (5 + n) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (5 * 30n3 + n * 30n3) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + (150n3 + 30n4) + n4(5 + n))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5 * n4 + n * n4))(4 + n)(3 + n)(2 + n) = 0
(15120 + 3024n + 8250n + 1650n2 + 1675n2 + 335n3 + 150n3 + 30n4 + (5n4 + n5))(4 + n)(3 + 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) = 0

Combine like terms: 1650n2 + 1675n2 = 3325n2
(15120 + 11274n + 3325n2 + 335n3 + 150n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n) = 0

Combine like terms: 335n3 + 150n3 = 485n3
(15120 + 11274n + 3325n2 + 485n3 + 30n4 + 5n4 + n5)(4 + n)(3 + n)(2 + n) = 0

Combine like terms: 30n4 + 5n4 = 35n4
(15120 + 11274n + 3325n2 + 485n3 + 35n4 + n5)(4 + n)(3 + 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) = 0
((4 * 15120 + n * 15120) + 11274n * (4 + n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + 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) = 0
(60480 + 15120n + (4 * 11274n + n * 11274n) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + (45096n + 11274n2) + 3325n2 * (4 + n) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + 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) = 0
(60480 + 15120n + 45096n + 11274n2 + (13300n2 + 3325n3) + 485n3 * (4 + n) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (4 * 485n3 + n * 485n3) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + (1940n3 + 485n4) + 35n4 * (4 + n) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (4 * 35n4 + n * 35n4) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + (140n4 + 35n5) + n5(4 + n))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4 * n5 + n * n5))(3 + n)(2 + n) = 0
(60480 + 15120n + 45096n + 11274n2 + 13300n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + (4n5 + n6))(3 + 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) = 0

Combine like terms: 11274n2 + 13300n2 = 24574n2
(60480 + 60216n + 24574n2 + 3325n3 + 1940n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n) = 0

Combine like terms: 3325n3 + 1940n3 = 5265n3
(60480 + 60216n + 24574n2 + 5265n3 + 485n4 + 140n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n) = 0

Combine like terms: 485n4 + 140n4 = 625n4
(60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 35n5 + 4n5 + n6)(3 + n)(2 + n) = 0

Combine like terms: 35n5 + 4n5 = 39n5
(60480 + 60216n + 24574n2 + 5265n3 + 625n4 + 39n5 + n6)(3 + 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) = 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) = 0
((181440 + 60480n) + 60216n * (3 + n) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + 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) = 0
(181440 + 60480n + (180648n + 60216n2) + 24574n2 * (3 + n) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + 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) = 0
(181440 + 60480n + 180648n + 60216n2 + (73722n2 + 24574n3) + 5265n3 * (3 + n) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + 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) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + (15795n3 + 5265n4) + 625n4 * (3 + n) + 39n5 * (3 + n) + n6(3 + n))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (3 * 625n4 + n * 625n4) + 39n5 * (3 + n) + n6(3 + n))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + (1875n4 + 625n5) + 39n5 * (3 + n) + n6(3 + n))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (3 * 39n5 + n * 39n5) + n6(3 + n))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + (117n5 + 39n6) + n6(3 + n))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3 * n6 + n * n6))(2 + n) = 0
(181440 + 60480n + 180648n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + (3n6 + n7))(2 + n) = 0

Combine like terms: 60480n + 180648n = 241128n
(181440 + 241128n + 60216n2 + 73722n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n) = 0

Combine like terms: 60216n2 + 73722n2 = 133938n2
(181440 + 241128n + 133938n2 + 24574n3 + 15795n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n) = 0

Combine like terms: 24574n3 + 15795n3 = 40369n3
(181440 + 241128n + 133938n2 + 40369n3 + 5265n4 + 1875n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n) = 0

Combine like terms: 5265n4 + 1875n4 = 7140n4
(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 625n5 + 117n5 + 39n6 + 3n6 + n7)(2 + n) = 0

Combine like terms: 625n5 + 117n5 = 742n5
(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 39n6 + 3n6 + n7)(2 + n) = 0

Combine like terms: 39n6 + 3n6 = 42n6
(181440 + 241128n + 133938n2 + 40369n3 + 7140n4 + 742n5 + 42n6 + n7)(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)) = 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)) = 0
((362880 + 181440n) + 241128n * (2 + n) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(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)) = 0
(362880 + 181440n + (482256n + 241128n2) + 133938n2 * (2 + n) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(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)) = 0
(362880 + 181440n + 482256n + 241128n2 + (267876n2 + 133938n3) + 40369n3 * (2 + n) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(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)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + (80738n3 + 40369n4) + 7140n4 * (2 + n) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (2 * 7140n4 + n * 7140n4) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + (14280n4 + 7140n5) + 742n5 * (2 + n) + 42n6 * (2 + n) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (2 * 742n5 + n * 742n5) + 42n6 * (2 + n) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + (1484n5 + 742n6) + 42n6 * (2 + n) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (2 * 42n6 + n * 42n6) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + (84n6 + 42n7) + n7(2 + n)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2 * n7 + n * n7)) = 0
(362880 + 181440n + 482256n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + (2n7 + n8)) = 0

Combine like terms: 181440n + 482256n = 663696n
(362880 + 663696n + 241128n2 + 267876n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 241128n2 + 267876n2 = 509004n2
(362880 + 663696n + 509004n2 + 133938n3 + 80738n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 133938n3 + 80738n3 = 214676n3
(362880 + 663696n + 509004n2 + 214676n3 + 40369n4 + 14280n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 40369n4 + 14280n4 = 54649n4
(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 7140n5 + 1484n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 7140n5 + 1484n5 = 8624n5
(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 742n6 + 84n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 742n6 + 84n6 = 826n6
(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 42n7 + 2n7 + n8) = 0

Combine like terms: 42n7 + 2n7 = 44n7
(362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8) = 0

Solving
362880 + 663696n + 509004n2 + 214676n3 + 54649n4 + 8624n5 + 826n6 + 44n7 + n8 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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