3(x+2)(x+2)(x-2)-2(x+2)(x+2)(x+2)+x(x-2)=0

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Solution for 3(x+2)(x+2)(x-2)-2(x+2)(x+2)(x+2)+x(x-2)=0 equation:


Simplifying
3(x + 2)(x + 2)(x + -2) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Reorder the terms:
3(2 + x)(x + 2)(x + -2) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Reorder the terms:
3(2 + x)(2 + x)(x + -2) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Reorder the terms:
3(2 + x)(2 + x)(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Multiply (2 + x) * (2 + x)
3(2(2 + x) + x(2 + x))(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3((2 * 2 + x * 2) + x(2 + x))(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3((4 + 2x) + x(2 + x))(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(4 + 2x + (2 * x + x * x))(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(4 + 2x + (2x + x2))(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Combine like terms: 2x + 2x = 4x
3(4 + 4x + x2)(-2 + x) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Multiply (4 + 4x + x2) * (-2 + x)
3(4(-2 + x) + 4x * (-2 + x) + x2(-2 + x)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3((-2 * 4 + x * 4) + 4x * (-2 + x) + x2(-2 + x)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3((-8 + 4x) + 4x * (-2 + x) + x2(-2 + x)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(-8 + 4x + (-2 * 4x + x * 4x) + x2(-2 + x)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(-8 + 4x + (-8x + 4x2) + x2(-2 + x)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(-8 + 4x + -8x + 4x2 + (-2 * x2 + x * x2)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
3(-8 + 4x + -8x + 4x2 + (-2x2 + x3)) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Combine like terms: 4x + -8x = -4x
3(-8 + -4x + 4x2 + -2x2 + x3) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Combine like terms: 4x2 + -2x2 = 2x2
3(-8 + -4x + 2x2 + x3) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
(-8 * 3 + -4x * 3 + 2x2 * 3 + x3 * 3) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0
(-24 + -12x + 6x2 + 3x3) + -2(x + 2)(x + 2)(x + 2) + x(x + -2) = 0

Reorder the terms:
-24 + -12x + 6x2 + 3x3 + -2(2 + x)(x + 2)(x + 2) + x(x + -2) = 0

Reorder the terms:
-24 + -12x + 6x2 + 3x3 + -2(2 + x)(2 + x)(x + 2) + x(x + -2) = 0

Reorder the terms:
-24 + -12x + 6x2 + 3x3 + -2(2 + x)(2 + x)(2 + x) + x(x + -2) = 0

Multiply (2 + x) * (2 + x)
-24 + -12x + 6x2 + 3x3 + -2(2(2 + x) + x(2 + x))(2 + x) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2((2 * 2 + x * 2) + x(2 + x))(2 + x) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2((4 + 2x) + x(2 + x))(2 + x) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(4 + 2x + (2 * x + x * x))(2 + x) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(4 + 2x + (2x + x2))(2 + x) + x(x + -2) = 0

Combine like terms: 2x + 2x = 4x
-24 + -12x + 6x2 + 3x3 + -2(4 + 4x + x2)(2 + x) + x(x + -2) = 0

Multiply (4 + 4x + x2) * (2 + x)
-24 + -12x + 6x2 + 3x3 + -2(4(2 + x) + 4x * (2 + x) + x2(2 + x)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2((2 * 4 + x * 4) + 4x * (2 + x) + x2(2 + x)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2((8 + 4x) + 4x * (2 + x) + x2(2 + x)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(8 + 4x + (2 * 4x + x * 4x) + x2(2 + x)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(8 + 4x + (8x + 4x2) + x2(2 + x)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(8 + 4x + 8x + 4x2 + (2 * x2 + x * x2)) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + -2(8 + 4x + 8x + 4x2 + (2x2 + x3)) + x(x + -2) = 0

Combine like terms: 4x + 8x = 12x
-24 + -12x + 6x2 + 3x3 + -2(8 + 12x + 4x2 + 2x2 + x3) + x(x + -2) = 0

Combine like terms: 4x2 + 2x2 = 6x2
-24 + -12x + 6x2 + 3x3 + -2(8 + 12x + 6x2 + x3) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + (8 * -2 + 12x * -2 + 6x2 * -2 + x3 * -2) + x(x + -2) = 0
-24 + -12x + 6x2 + 3x3 + (-16 + -24x + -12x2 + -2x3) + x(x + -2) = 0

Reorder the terms:
-24 + -12x + 6x2 + 3x3 + -16 + -24x + -12x2 + -2x3 + x(-2 + x) = 0
-24 + -12x + 6x2 + 3x3 + -16 + -24x + -12x2 + -2x3 + (-2 * x + x * x) = 0
-24 + -12x + 6x2 + 3x3 + -16 + -24x + -12x2 + -2x3 + (-2x + x2) = 0

Reorder the terms:
-24 + -16 + -12x + -24x + -2x + 6x2 + -12x2 + x2 + 3x3 + -2x3 = 0

Combine like terms: -24 + -16 = -40
-40 + -12x + -24x + -2x + 6x2 + -12x2 + x2 + 3x3 + -2x3 = 0

Combine like terms: -12x + -24x = -36x
-40 + -36x + -2x + 6x2 + -12x2 + x2 + 3x3 + -2x3 = 0

Combine like terms: -36x + -2x = -38x
-40 + -38x + 6x2 + -12x2 + x2 + 3x3 + -2x3 = 0

Combine like terms: 6x2 + -12x2 = -6x2
-40 + -38x + -6x2 + x2 + 3x3 + -2x3 = 0

Combine like terms: -6x2 + x2 = -5x2
-40 + -38x + -5x2 + 3x3 + -2x3 = 0

Combine like terms: 3x3 + -2x3 = 1x3
-40 + -38x + -5x2 + 1x3 = 0

Solving
-40 + -38x + -5x2 + 1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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