(4+n)(3+n)(2+n)(n-1)(n-2)(n-3)(n-4)(n-5)=0

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Solution for (4+n)(3+n)(2+n)(n-1)(n-2)(n-3)(n-4)(n-5)=0 equation:


Simplifying
(4 + n)(3 + n)(2 + n)(n + -1)(n + -2)(n + -3)(n + -4)(n + -5) = 0

Reorder the terms:
(4 + n)(3 + n)(2 + n)(-1 + n)(n + -2)(n + -3)(n + -4)(n + -5) = 0

Reorder the terms:
(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(n + -3)(n + -4)(n + -5) = 0

Reorder the terms:
(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(n + -4)(n + -5) = 0

Reorder the terms:
(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(n + -5) = 0

Reorder the terms:
(4 + n)(3 + n)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (4 + n) * (3 + n)
(4(3 + n) + n(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((3 * 4 + n * 4) + n(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((12 + 4n) + n(3 + n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(12 + 4n + (3 * n + n * n))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(12 + 4n + (3n + n2))(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 4n + 3n = 7n
(12 + 7n + n2)(2 + n)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (12 + 7n + n2) * (2 + n)
(12(2 + n) + 7n * (2 + n) + n2(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((2 * 12 + n * 12) + 7n * (2 + n) + n2(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((24 + 12n) + 7n * (2 + n) + n2(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(24 + 12n + (2 * 7n + n * 7n) + n2(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(24 + 12n + (14n + 7n2) + n2(2 + n))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(24 + 12n + 14n + 7n2 + (2 * n2 + n * n2))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(24 + 12n + 14n + 7n2 + (2n2 + n3))(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 12n + 14n = 26n
(24 + 26n + 7n2 + 2n2 + n3)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 7n2 + 2n2 = 9n2
(24 + 26n + 9n2 + n3)(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (24 + 26n + 9n2 + n3) * (-1 + n)
(24(-1 + n) + 26n * (-1 + n) + 9n2 * (-1 + n) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((-1 * 24 + n * 24) + 26n * (-1 + n) + 9n2 * (-1 + n) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
((-24 + 24n) + 26n * (-1 + n) + 9n2 * (-1 + n) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + (-1 * 26n + n * 26n) + 9n2 * (-1 + n) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + (-26n + 26n2) + 9n2 * (-1 + n) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + -26n + 26n2 + (-1 * 9n2 + n * 9n2) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + -26n + 26n2 + (-9n2 + 9n3) + n3(-1 + n))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + -26n + 26n2 + -9n2 + 9n3 + (-1 * n3 + n * n3))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0
(-24 + 24n + -26n + 26n2 + -9n2 + 9n3 + (-1n3 + n4))(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 24n + -26n = -2n
(-24 + -2n + 26n2 + -9n2 + 9n3 + -1n3 + n4)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 26n2 + -9n2 = 17n2
(-24 + -2n + 17n2 + 9n3 + -1n3 + n4)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 9n3 + -1n3 = 8n3
(-24 + -2n + 17n2 + 8n3 + n4)(-2 + n)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (-24 + -2n + 17n2 + 8n3 + n4) * (-2 + n)
(-24(-2 + n) + -2n * (-2 + n) + 17n2 * (-2 + n) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
((-2 * -24 + n * -24) + -2n * (-2 + n) + 17n2 * (-2 + n) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
((48 + -24n) + -2n * (-2 + n) + 17n2 * (-2 + n) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + (-2 * -2n + n * -2n) + 17n2 * (-2 + n) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + (4n + -2n2) + 17n2 * (-2 + n) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + (-2 * 17n2 + n * 17n2) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + (-34n2 + 17n3) + 8n3 * (-2 + n) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + -34n2 + 17n3 + (-2 * 8n3 + n * 8n3) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + -34n2 + 17n3 + (-16n3 + 8n4) + n4(-2 + n))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + -34n2 + 17n3 + -16n3 + 8n4 + (-2 * n4 + n * n4))(-3 + n)(-4 + n)(-5 + n) = 0
(48 + -24n + 4n + -2n2 + -34n2 + 17n3 + -16n3 + 8n4 + (-2n4 + n5))(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: -24n + 4n = -20n
(48 + -20n + -2n2 + -34n2 + 17n3 + -16n3 + 8n4 + -2n4 + n5)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: -2n2 + -34n2 = -36n2
(48 + -20n + -36n2 + 17n3 + -16n3 + 8n4 + -2n4 + n5)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 17n3 + -16n3 = 1n3
(48 + -20n + -36n2 + 1n3 + 8n4 + -2n4 + n5)(-3 + n)(-4 + n)(-5 + n) = 0

Combine like terms: 8n4 + -2n4 = 6n4
(48 + -20n + -36n2 + 1n3 + 6n4 + n5)(-3 + n)(-4 + n)(-5 + n) = 0

Multiply (48 + -20n + -36n2 + 1n3 + 6n4 + n5) * (-3 + n)
(48(-3 + n) + -20n * (-3 + n) + -36n2 * (-3 + n) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
((-3 * 48 + n * 48) + -20n * (-3 + n) + -36n2 * (-3 + n) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
((-144 + 48n) + -20n * (-3 + n) + -36n2 * (-3 + n) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + (-3 * -20n + n * -20n) + -36n2 * (-3 + n) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + (60n + -20n2) + -36n2 * (-3 + n) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + (-3 * -36n2 + n * -36n2) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + (108n2 + -36n3) + 1n3 * (-3 + n) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + (-3 * 1n3 + n * 1n3) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + (-3n3 + 1n4) + 6n4 * (-3 + n) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + -3n3 + 1n4 + (-3 * 6n4 + n * 6n4) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + -3n3 + 1n4 + (-18n4 + 6n5) + n5(-3 + n))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + -3n3 + 1n4 + -18n4 + 6n5 + (-3 * n5 + n * n5))(-4 + n)(-5 + n) = 0
(-144 + 48n + 60n + -20n2 + 108n2 + -36n3 + -3n3 + 1n4 + -18n4 + 6n5 + (-3n5 + n6))(-4 + n)(-5 + n) = 0

Combine like terms: 48n + 60n = 108n
(-144 + 108n + -20n2 + 108n2 + -36n3 + -3n3 + 1n4 + -18n4 + 6n5 + -3n5 + n6)(-4 + n)(-5 + n) = 0

Combine like terms: -20n2 + 108n2 = 88n2
(-144 + 108n + 88n2 + -36n3 + -3n3 + 1n4 + -18n4 + 6n5 + -3n5 + n6)(-4 + n)(-5 + n) = 0

Combine like terms: -36n3 + -3n3 = -39n3
(-144 + 108n + 88n2 + -39n3 + 1n4 + -18n4 + 6n5 + -3n5 + n6)(-4 + n)(-5 + n) = 0

Combine like terms: 1n4 + -18n4 = -17n4
(-144 + 108n + 88n2 + -39n3 + -17n4 + 6n5 + -3n5 + n6)(-4 + n)(-5 + n) = 0

Combine like terms: 6n5 + -3n5 = 3n5
(-144 + 108n + 88n2 + -39n3 + -17n4 + 3n5 + n6)(-4 + n)(-5 + n) = 0

Multiply (-144 + 108n + 88n2 + -39n3 + -17n4 + 3n5 + n6) * (-4 + n)
(-144(-4 + n) + 108n * (-4 + n) + 88n2 * (-4 + n) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
((-4 * -144 + n * -144) + 108n * (-4 + n) + 88n2 * (-4 + n) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
((576 + -144n) + 108n * (-4 + n) + 88n2 * (-4 + n) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + (-4 * 108n + n * 108n) + 88n2 * (-4 + n) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + (-432n + 108n2) + 88n2 * (-4 + n) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + (-4 * 88n2 + n * 88n2) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + (-352n2 + 88n3) + -39n3 * (-4 + n) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + (-4 * -39n3 + n * -39n3) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + (156n3 + -39n4) + -17n4 * (-4 + n) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + (-4 * -17n4 + n * -17n4) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + (68n4 + -17n5) + 3n5 * (-4 + n) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + (-4 * 3n5 + n * 3n5) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + (-12n5 + 3n6) + n6(-4 + n))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + -12n5 + 3n6 + (-4 * n6 + n * n6))(-5 + n) = 0
(576 + -144n + -432n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + -12n5 + 3n6 + (-4n6 + n7))(-5 + n) = 0

Combine like terms: -144n + -432n = -576n
(576 + -576n + 108n2 + -352n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + -12n5 + 3n6 + -4n6 + n7)(-5 + n) = 0

Combine like terms: 108n2 + -352n2 = -244n2
(576 + -576n + -244n2 + 88n3 + 156n3 + -39n4 + 68n4 + -17n5 + -12n5 + 3n6 + -4n6 + n7)(-5 + n) = 0

Combine like terms: 88n3 + 156n3 = 244n3
(576 + -576n + -244n2 + 244n3 + -39n4 + 68n4 + -17n5 + -12n5 + 3n6 + -4n6 + n7)(-5 + n) = 0

Combine like terms: -39n4 + 68n4 = 29n4
(576 + -576n + -244n2 + 244n3 + 29n4 + -17n5 + -12n5 + 3n6 + -4n6 + n7)(-5 + n) = 0

Combine like terms: -17n5 + -12n5 = -29n5
(576 + -576n + -244n2 + 244n3 + 29n4 + -29n5 + 3n6 + -4n6 + n7)(-5 + n) = 0

Combine like terms: 3n6 + -4n6 = -1n6
(576 + -576n + -244n2 + 244n3 + 29n4 + -29n5 + -1n6 + n7)(-5 + n) = 0

Multiply (576 + -576n + -244n2 + 244n3 + 29n4 + -29n5 + -1n6 + n7) * (-5 + n)
(576(-5 + n) + -576n * (-5 + n) + -244n2 * (-5 + n) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
((-5 * 576 + n * 576) + -576n * (-5 + n) + -244n2 * (-5 + n) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
((-2880 + 576n) + -576n * (-5 + n) + -244n2 * (-5 + n) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + (-5 * -576n + n * -576n) + -244n2 * (-5 + n) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + (2880n + -576n2) + -244n2 * (-5 + n) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + (-5 * -244n2 + n * -244n2) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + (1220n2 + -244n3) + 244n3 * (-5 + n) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + (-5 * 244n3 + n * 244n3) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + (-1220n3 + 244n4) + 29n4 * (-5 + n) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + (-5 * 29n4 + n * 29n4) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + (-145n4 + 29n5) + -29n5 * (-5 + n) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + (-5 * -29n5 + n * -29n5) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + (145n5 + -29n6) + -1n6 * (-5 + n) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + (-5 * -1n6 + n * -1n6) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + (5n6 + -1n7) + n7(-5 + n)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + (-5 * n7 + n * n7)) = 0
(-2880 + 576n + 2880n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + (-5n7 + n8)) = 0

Combine like terms: 576n + 2880n = 3456n
(-2880 + 3456n + -576n2 + 1220n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: -576n2 + 1220n2 = 644n2
(-2880 + 3456n + 644n2 + -244n3 + -1220n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: -244n3 + -1220n3 = -1464n3
(-2880 + 3456n + 644n2 + -1464n3 + 244n4 + -145n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: 244n4 + -145n4 = 99n4
(-2880 + 3456n + 644n2 + -1464n3 + 99n4 + 29n5 + 145n5 + -29n6 + 5n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: 29n5 + 145n5 = 174n5
(-2880 + 3456n + 644n2 + -1464n3 + 99n4 + 174n5 + -29n6 + 5n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: -29n6 + 5n6 = -24n6
(-2880 + 3456n + 644n2 + -1464n3 + 99n4 + 174n5 + -24n6 + -1n7 + -5n7 + n8) = 0

Combine like terms: -1n7 + -5n7 = -6n7
(-2880 + 3456n + 644n2 + -1464n3 + 99n4 + 174n5 + -24n6 + -6n7 + n8) = 0

Solving
-2880 + 3456n + 644n2 + -1464n3 + 99n4 + 174n5 + -24n6 + -6n7 + n8 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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