(x-2)(x+2)12-(x^2-4)(x+2)3=(x^2-4)(x-2)9

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Solution for (x-2)(x+2)12-(x^2-4)(x+2)3=(x^2-4)(x-2)9 equation: 


Simplifying
(x + -2)(x + 2) * 12 + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms:
(-2 + x)(x + 2) * 12 + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms:
(-2 + x)(2 + x) * 12 + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms for easier multiplication:
12(-2 + x)(2 + x) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Multiply (-2 + x) * (2 + x)
12(-2(2 + x) + x(2 + x)) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
12((2 * -2 + x * -2) + x(2 + x)) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
12((-4 + -2x) + x(2 + x)) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
12(-4 + -2x + (2 * x + x * x)) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
12(-4 + -2x + (2x + x2)) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Combine like terms: -2x + 2x = 0
12(-4 + 0 + x2) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
12(-4 + x2) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
(-4 * 12 + x2 * 12) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9
(-48 + 12x2) + -1(x2 + -4)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms:
-48 + 12x2 + -1(-4 + x2)(x + 2) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms:
-48 + 12x2 + -1(-4 + x2)(2 + x) * 3 = (x2 + -4)(x + -2) * 9

Reorder the terms for easier multiplication:
-48 + 12x2 + -1 * 3(-4 + x2)(2 + x) = (x2 + -4)(x + -2) * 9

Multiply -1 * 3
-48 + 12x2 + -3(-4 + x2)(2 + x) = (x2 + -4)(x + -2) * 9

Multiply (-4 + x2) * (2 + x)
-48 + 12x2 + -3(-4(2 + x) + x2(2 + x)) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + -3((2 * -4 + x * -4) + x2(2 + x)) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + -3((-8 + -4x) + x2(2 + x)) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + -3(-8 + -4x + (2 * x2 + x * x2)) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + -3(-8 + -4x + (2x2 + x3)) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + -3(-8 + -4x + 2x2 + x3) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + (-8 * -3 + -4x * -3 + 2x2 * -3 + x3 * -3) = (x2 + -4)(x + -2) * 9
-48 + 12x2 + (24 + 12x + -6x2 + -3x3) = (x2 + -4)(x + -2) * 9

Reorder the terms:
-48 + 24 + 12x + 12x2 + -6x2 + -3x3 = (x2 + -4)(x + -2) * 9

Combine like terms: -48 + 24 = -24
-24 + 12x + 12x2 + -6x2 + -3x3 = (x2 + -4)(x + -2) * 9

Combine like terms: 12x2 + -6x2 = 6x2
-24 + 12x + 6x2 + -3x3 = (x2 + -4)(x + -2) * 9

Reorder the terms:
-24 + 12x + 6x2 + -3x3 = (-4 + x2)(x + -2) * 9

Reorder the terms:
-24 + 12x + 6x2 + -3x3 = (-4 + x2)(-2 + x) * 9

Reorder the terms for easier multiplication:
-24 + 12x + 6x2 + -3x3 = 9(-4 + x2)(-2 + x)

Multiply (-4 + x2) * (-2 + x)
-24 + 12x + 6x2 + -3x3 = 9(-4(-2 + x) + x2(-2 + x))
-24 + 12x + 6x2 + -3x3 = 9((-2 * -4 + x * -4) + x2(-2 + x))
-24 + 12x + 6x2 + -3x3 = 9((8 + -4x) + x2(-2 + x))
-24 + 12x + 6x2 + -3x3 = 9(8 + -4x + (-2 * x2 + x * x2))
-24 + 12x + 6x2 + -3x3 = 9(8 + -4x + (-2x2 + x3))
-24 + 12x + 6x2 + -3x3 = 9(8 + -4x + -2x2 + x3)
-24 + 12x + 6x2 + -3x3 = (8 * 9 + -4x * 9 + -2x2 * 9 + x3 * 9)
-24 + 12x + 6x2 + -3x3 = (72 + -36x + -18x2 + 9x3)

Solving
-24 + 12x + 6x2 + -3x3 = 72 + -36x + -18x2 + 9x3

Solving for variable 'x'.

Reorder the terms:
-24 + -72 + 12x + 36x + 6x2 + 18x2 + -3x3 + -9x3 = 72 + -36x + -18x2 + 9x3 + -72 + 36x + 18x2 + -9x3

Combine like terms: -24 + -72 = -96
-96 + 12x + 36x + 6x2 + 18x2 + -3x3 + -9x3 = 72 + -36x + -18x2 + 9x3 + -72 + 36x + 18x2 + -9x3

Combine like terms: 12x + 36x = 48x
-96 + 48x + 6x2 + 18x2 + -3x3 + -9x3 = 72 + -36x + -18x2 + 9x3 + -72 + 36x + 18x2 + -9x3

Combine like terms: 6x2 + 18x2 = 24x2
-96 + 48x + 24x2 + -3x3 + -9x3 = 72 + -36x + -18x2 + 9x3 + -72 + 36x + 18x2 + -9x3

Combine like terms: -3x3 + -9x3 = -12x3
-96 + 48x + 24x2 + -12x3 = 72 + -36x + -18x2 + 9x3 + -72 + 36x + 18x2 + -9x3

Reorder the terms:
-96 + 48x + 24x2 + -12x3 = 72 + -72 + -36x + 36x + -18x2 + 18x2 + 9x3 + -9x3

Combine like terms: 72 + -72 = 0
-96 + 48x + 24x2 + -12x3 = 0 + -36x + 36x + -18x2 + 18x2 + 9x3 + -9x3
-96 + 48x + 24x2 + -12x3 = -36x + 36x + -18x2 + 18x2 + 9x3 + -9x3

Combine like terms: -36x + 36x = 0
-96 + 48x + 24x2 + -12x3 = 0 + -18x2 + 18x2 + 9x3 + -9x3
-96 + 48x + 24x2 + -12x3 = -18x2 + 18x2 + 9x3 + -9x3

Combine like terms: -18x2 + 18x2 = 0
-96 + 48x + 24x2 + -12x3 = 0 + 9x3 + -9x3
-96 + 48x + 24x2 + -12x3 = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-96 + 48x + 24x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-8 + 4x + 2x2 + -1x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-8 + 4x + 2x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-8 + 4x + 2x2 + -1x3 = 0

Solving
-8 + 4x + 2x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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