12=(n-1)(n-2)(n-3)(n-4)-2n^3

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Solution for 12=(n-1)(n-2)(n-3)(n-4)-2n^3 equation: 


Simplifying
12 = (n + -1)(n + -2)(n + -3)(n + -4) + -2n3

Reorder the terms:
12 = (-1 + n)(n + -2)(n + -3)(n + -4) + -2n3

Reorder the terms:
12 = (-1 + n)(-2 + n)(n + -3)(n + -4) + -2n3

Reorder the terms:
12 = (-1 + n)(-2 + n)(-3 + n)(n + -4) + -2n3

Reorder the terms:
12 = (-1 + n)(-2 + n)(-3 + n)(-4 + n) + -2n3

Multiply (-1 + n) * (-2 + n)
12 = (-1(-2 + n) + n(-2 + n))(-3 + n)(-4 + n) + -2n3
12 = ((-2 * -1 + n * -1) + n(-2 + n))(-3 + n)(-4 + n) + -2n3
12 = ((2 + -1n) + n(-2 + n))(-3 + n)(-4 + n) + -2n3
12 = (2 + -1n + (-2 * n + n * n))(-3 + n)(-4 + n) + -2n3
12 = (2 + -1n + (-2n + n2))(-3 + n)(-4 + n) + -2n3

Combine like terms: -1n + -2n = -3n
12 = (2 + -3n + n2)(-3 + n)(-4 + n) + -2n3

Multiply (2 + -3n + n2) * (-3 + n)
12 = (2(-3 + n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n) + -2n3
12 = ((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n))(-4 + n) + -2n3
12 = ((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n) + -2n3
12 = (-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n))(-4 + n) + -2n3
12 = (-6 + 2n + (9n + -3n2) + n2(-3 + n))(-4 + n) + -2n3
12 = (-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2))(-4 + n) + -2n3
12 = (-6 + 2n + 9n + -3n2 + (-3n2 + n3))(-4 + n) + -2n3

Combine like terms: 2n + 9n = 11n
12 = (-6 + 11n + -3n2 + -3n2 + n3)(-4 + n) + -2n3

Combine like terms: -3n2 + -3n2 = -6n2
12 = (-6 + 11n + -6n2 + n3)(-4 + n) + -2n3

Multiply (-6 + 11n + -6n2 + n3) * (-4 + n)
12 = (-6(-4 + n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n)) + -2n3
12 = ((-4 * -6 + n * -6) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n)) + -2n3
12 = ((24 + -6n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n)) + -2n3
12 = (24 + -6n + (-4 * 11n + n * 11n) + -6n2 * (-4 + n) + n3(-4 + n)) + -2n3
12 = (24 + -6n + (-44n + 11n2) + -6n2 * (-4 + n) + n3(-4 + n)) + -2n3
12 = (24 + -6n + -44n + 11n2 + (-4 * -6n2 + n * -6n2) + n3(-4 + n)) + -2n3
12 = (24 + -6n + -44n + 11n2 + (24n2 + -6n3) + n3(-4 + n)) + -2n3
12 = (24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4 * n3 + n * n3)) + -2n3
12 = (24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4n3 + n4)) + -2n3

Combine like terms: -6n + -44n = -50n
12 = (24 + -50n + 11n2 + 24n2 + -6n3 + -4n3 + n4) + -2n3

Combine like terms: 11n2 + 24n2 = 35n2
12 = (24 + -50n + 35n2 + -6n3 + -4n3 + n4) + -2n3

Combine like terms: -6n3 + -4n3 = -10n3
12 = (24 + -50n + 35n2 + -10n3 + n4) + -2n3

Reorder the terms:
12 = 24 + -50n + 35n2 + -10n3 + -2n3 + n4

Combine like terms: -10n3 + -2n3 = -12n3
12 = 24 + -50n + 35n2 + -12n3 + n4

Solving
12 = 24 + -50n + 35n2 + -12n3 + n4

Solving for variable 'n'.

Combine like terms: 12 + -24 = -12
-12 + 50n + -35n2 + 12n3 + -1n4 = 24 + -50n + 35n2 + -12n3 + n4 + -24 + 50n + -35n2 + 12n3 + -1n4

Reorder the terms:
-12 + 50n + -35n2 + 12n3 + -1n4 = 24 + -24 + -50n + 50n + 35n2 + -35n2 + -12n3 + 12n3 + n4 + -1n4

Combine like terms: 24 + -24 = 0
-12 + 50n + -35n2 + 12n3 + -1n4 = 0 + -50n + 50n + 35n2 + -35n2 + -12n3 + 12n3 + n4 + -1n4
-12 + 50n + -35n2 + 12n3 + -1n4 = -50n + 50n + 35n2 + -35n2 + -12n3 + 12n3 + n4 + -1n4

Combine like terms: -50n + 50n = 0
-12 + 50n + -35n2 + 12n3 + -1n4 = 0 + 35n2 + -35n2 + -12n3 + 12n3 + n4 + -1n4
-12 + 50n + -35n2 + 12n3 + -1n4 = 35n2 + -35n2 + -12n3 + 12n3 + n4 + -1n4

Combine like terms: 35n2 + -35n2 = 0
-12 + 50n + -35n2 + 12n3 + -1n4 = 0 + -12n3 + 12n3 + n4 + -1n4
-12 + 50n + -35n2 + 12n3 + -1n4 = -12n3 + 12n3 + n4 + -1n4

Combine like terms: -12n3 + 12n3 = 0
-12 + 50n + -35n2 + 12n3 + -1n4 = 0 + n4 + -1n4
-12 + 50n + -35n2 + 12n3 + -1n4 = n4 + -1n4

Combine like terms: n4 + -1n4 = 0
-12 + 50n + -35n2 + 12n3 + -1n4 = 0

The solution to this equation could not be determined.

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