(N)(n-1)(n-2)(n-3)=126

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Solution for (N)(n-1)(n-2)(n-3)=126 equation: 


Simplifying
(N)(n + -1)(n + -2)(n + -3) = 126

Reorder the terms:
N(-1 + n)(n + -2)(n + -3) = 126

Reorder the terms:
N(-1 + n)(-2 + n)(n + -3) = 126

Reorder the terms:
N(-1 + n)(-2 + n)(-3 + n) = 126

Multiply (-1 + n) * (-2 + n)
N(-1(-2 + n) + n(-2 + n))(-3 + n) = 126
N((-2 * -1 + n * -1) + n(-2 + n))(-3 + n) = 126
N((2 + -1n) + n(-2 + n))(-3 + n) = 126
N(2 + -1n + (-2 * n + n * n))(-3 + n) = 126
N(2 + -1n + (-2n + n2))(-3 + n) = 126

Combine like terms: -1n + -2n = -3n
N(2 + -3n + n2)(-3 + n) = 126

Multiply (2 + -3n + n2) * (-3 + n)
N(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n)) = 126
N((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n)) = 126
N((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n)) = 126
N(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n)) = 126
N(-6 + 2n + (9n + -3n2) + n2(-3 + n)) = 126
N(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2)) = 126
N(-6 + 2n + 9n + -3n2 + (-3n2 + n3)) = 126

Combine like terms: 2n + 9n = 11n
N(-6 + 11n + -3n2 + -3n2 + n3) = 126

Combine like terms: -3n2 + -3n2 = -6n2
N(-6 + 11n + -6n2 + n3) = 126
(-6 * N + 11n * N + -6n2 * N + n3 * N) = 126
(-6N + 11nN + -6n2N + n3N) = 126

Solving
-6N + 11nN + -6n2N + n3N = 126

Solving for variable 'N'.

Move all terms containing N to the left, all other terms to the right.

Reorder the terms:
-126 + -6N + 11nN + -6n2N + n3N = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + -6N + 11nN + -6n2N + n3N = 0

The solution to this equation could not be determined.

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