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

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


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

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

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

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

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

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

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

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

Multiply (2 + -3n + n2) * (-3 + n)
(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n) = 0
((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n) = 0
((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n) = 0
(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n))(-4 + n)(-5 + n) = 0
(-6 + 2n + (9n + -3n2) + n2(-3 + n))(-4 + n)(-5 + n) = 0
(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2))(-4 + n)(-5 + n) = 0
(-6 + 2n + 9n + -3n2 + (-3n2 + n3))(-4 + n)(-5 + n) = 0

Combine like terms: 2n + 9n = 11n
(-6 + 11n + -3n2 + -3n2 + n3)(-4 + n)(-5 + n) = 0

Combine like terms: -3n2 + -3n2 = -6n2
(-6 + 11n + -6n2 + n3)(-4 + n)(-5 + n) = 0

Multiply (-6 + 11n + -6n2 + n3) * (-4 + n)
(-6(-4 + n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n) = 0
((-4 * -6 + n * -6) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n) = 0
((24 + -6n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n) = 0
(24 + -6n + (-4 * 11n + n * 11n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n) = 0
(24 + -6n + (-44n + 11n2) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n) = 0
(24 + -6n + -44n + 11n2 + (-4 * -6n2 + n * -6n2) + n3(-4 + n))(-5 + n) = 0
(24 + -6n + -44n + 11n2 + (24n2 + -6n3) + n3(-4 + n))(-5 + n) = 0
(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4 * n3 + n * n3))(-5 + n) = 0
(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4n3 + n4))(-5 + n) = 0

Combine like terms: -6n + -44n = -50n
(24 + -50n + 11n2 + 24n2 + -6n3 + -4n3 + n4)(-5 + n) = 0

Combine like terms: 11n2 + 24n2 = 35n2
(24 + -50n + 35n2 + -6n3 + -4n3 + n4)(-5 + n) = 0

Combine like terms: -6n3 + -4n3 = -10n3
(24 + -50n + 35n2 + -10n3 + n4)(-5 + n) = 0

Multiply (24 + -50n + 35n2 + -10n3 + n4) * (-5 + n)
(24(-5 + n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
((-5 * 24 + n * 24) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
((-120 + 24n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
(-120 + 24n + (-5 * -50n + n * -50n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
(-120 + 24n + (250n + -50n2) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
(-120 + 24n + 250n + -50n2 + (-5 * 35n2 + n * 35n2) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
(-120 + 24n + 250n + -50n2 + (-175n2 + 35n3) + -10n3 * (-5 + n) + n4(-5 + n)) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (-5 * -10n3 + n * -10n3) + n4(-5 + n)) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (50n3 + -10n4) + n4(-5 + n)) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5 * n4 + n * n4)) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5n4 + n5)) = 0

Combine like terms: 24n + 250n = 274n
(-120 + 274n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5) = 0

Combine like terms: -50n2 + -175n2 = -225n2
(-120 + 274n + -225n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5) = 0

Combine like terms: 35n3 + 50n3 = 85n3
(-120 + 274n + -225n2 + 85n3 + -10n4 + -5n4 + n5) = 0

Combine like terms: -10n4 + -5n4 = -15n4
(-120 + 274n + -225n2 + 85n3 + -15n4 + n5) = 0

Solving
-120 + 274n + -225n2 + 85n3 + -15n4 + n5 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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