(N+8-x)(3N-12-x)-24(N-4)=0

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Solution for (N+8-x)(3N-12-x)-24(N-4)=0 equation: 


Simplifying
(N + 8 + -1x)(3N + -12 + -1x) + -24(N + -4) = 0

Reorder the terms:
(8 + N + -1x)(3N + -12 + -1x) + -24(N + -4) = 0

Reorder the terms:
(8 + N + -1x)(-12 + 3N + -1x) + -24(N + -4) = 0

Multiply (8 + N + -1x) * (-12 + 3N + -1x)
(8(-12 + 3N + -1x) + N(-12 + 3N + -1x) + -1x * (-12 + 3N + -1x)) + -24(N + -4) = 0
((-12 * 8 + 3N * 8 + -1x * 8) + N(-12 + 3N + -1x) + -1x * (-12 + 3N + -1x)) + -24(N + -4) = 0
((-96 + 24N + -8x) + N(-12 + 3N + -1x) + -1x * (-12 + 3N + -1x)) + -24(N + -4) = 0
(-96 + 24N + -8x + (-12 * N + 3N * N + -1x * N) + -1x * (-12 + 3N + -1x)) + -24(N + -4) = 0
(-96 + 24N + -8x + (-12N + 3N2 + -1xN) + -1x * (-12 + 3N + -1x)) + -24(N + -4) = 0
(-96 + 24N + -8x + -12N + 3N2 + -1xN + (-12 * -1x + 3N * -1x + -1x * -1x)) + -24(N + -4) = 0
(-96 + 24N + -8x + -12N + 3N2 + -1xN + (12x + -3xN + 1x2)) + -24(N + -4) = 0

Reorder the terms:
(-96 + 24N + -12N + 3N2 + -8x + 12x + -1xN + -3xN + 1x2) + -24(N + -4) = 0

Combine like terms: 24N + -12N = 12N
(-96 + 12N + 3N2 + -8x + 12x + -1xN + -3xN + 1x2) + -24(N + -4) = 0

Combine like terms: -8x + 12x = 4x
(-96 + 12N + 3N2 + 4x + -1xN + -3xN + 1x2) + -24(N + -4) = 0

Combine like terms: -1xN + -3xN = -4xN
(-96 + 12N + 3N2 + 4x + -4xN + 1x2) + -24(N + -4) = 0

Reorder the terms:
-96 + 12N + 3N2 + 4x + -4xN + 1x2 + -24(-4 + N) = 0
-96 + 12N + 3N2 + 4x + -4xN + 1x2 + (-4 * -24 + N * -24) = 0
-96 + 12N + 3N2 + 4x + -4xN + 1x2 + (96 + -24N) = 0

Reorder the terms:
-96 + 96 + 12N + -24N + 3N2 + 4x + -4xN + 1x2 = 0

Combine like terms: -96 + 96 = 0
0 + 12N + -24N + 3N2 + 4x + -4xN + 1x2 = 0
12N + -24N + 3N2 + 4x + -4xN + 1x2 = 0

Combine like terms: 12N + -24N = -12N
-12N + 3N2 + 4x + -4xN + 1x2 = 0

Solving
-12N + 3N2 + 4x + -4xN + 1x2 = 0

Solving for variable 'N'.

The solution to this equation could not be determined.

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