6(x-2)(x-2)(x-2)-x(x-2)(x-2)=0

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Solution for 6(x-2)(x-2)(x-2)-x(x-2)(x-2)=0 equation: 


Simplifying
6(x + -2)(x + -2)(x + -2) + -1x(x + -2)(x + -2) = 0

Reorder the terms:
6(-2 + x)(x + -2)(x + -2) + -1x(x + -2)(x + -2) = 0

Reorder the terms:
6(-2 + x)(-2 + x)(x + -2) + -1x(x + -2)(x + -2) = 0

Reorder the terms:
6(-2 + x)(-2 + x)(-2 + x) + -1x(x + -2)(x + -2) = 0

Multiply (-2 + x) * (-2 + x)
6(-2(-2 + x) + x(-2 + x))(-2 + x) + -1x(x + -2)(x + -2) = 0
6((-2 * -2 + x * -2) + x(-2 + x))(-2 + x) + -1x(x + -2)(x + -2) = 0
6((4 + -2x) + x(-2 + x))(-2 + x) + -1x(x + -2)(x + -2) = 0
6(4 + -2x + (-2 * x + x * x))(-2 + x) + -1x(x + -2)(x + -2) = 0
6(4 + -2x + (-2x + x2))(-2 + x) + -1x(x + -2)(x + -2) = 0

Combine like terms: -2x + -2x = -4x
6(4 + -4x + x2)(-2 + x) + -1x(x + -2)(x + -2) = 0

Multiply (4 + -4x + x2) * (-2 + x)
6(4(-2 + x) + -4x * (-2 + x) + x2(-2 + x)) + -1x(x + -2)(x + -2) = 0
6((-2 * 4 + x * 4) + -4x * (-2 + x) + x2(-2 + x)) + -1x(x + -2)(x + -2) = 0
6((-8 + 4x) + -4x * (-2 + x) + x2(-2 + x)) + -1x(x + -2)(x + -2) = 0
6(-8 + 4x + (-2 * -4x + x * -4x) + x2(-2 + x)) + -1x(x + -2)(x + -2) = 0
6(-8 + 4x + (8x + -4x2) + x2(-2 + x)) + -1x(x + -2)(x + -2) = 0
6(-8 + 4x + 8x + -4x2 + (-2 * x2 + x * x2)) + -1x(x + -2)(x + -2) = 0
6(-8 + 4x + 8x + -4x2 + (-2x2 + x3)) + -1x(x + -2)(x + -2) = 0

Combine like terms: 4x + 8x = 12x
6(-8 + 12x + -4x2 + -2x2 + x3) + -1x(x + -2)(x + -2) = 0

Combine like terms: -4x2 + -2x2 = -6x2
6(-8 + 12x + -6x2 + x3) + -1x(x + -2)(x + -2) = 0
(-8 * 6 + 12x * 6 + -6x2 * 6 + x3 * 6) + -1x(x + -2)(x + -2) = 0
(-48 + 72x + -36x2 + 6x3) + -1x(x + -2)(x + -2) = 0

Reorder the terms:
-48 + 72x + -36x2 + 6x3 + -1x(-2 + x)(x + -2) = 0

Reorder the terms:
-48 + 72x + -36x2 + 6x3 + -1x(-2 + x)(-2 + x) = 0

Multiply (-2 + x) * (-2 + x)
-48 + 72x + -36x2 + 6x3 + -1x(-2(-2 + x) + x(-2 + x)) = 0
-48 + 72x + -36x2 + 6x3 + -1x((-2 * -2 + x * -2) + x(-2 + x)) = 0
-48 + 72x + -36x2 + 6x3 + -1x((4 + -2x) + x(-2 + x)) = 0
-48 + 72x + -36x2 + 6x3 + -1x(4 + -2x + (-2 * x + x * x)) = 0
-48 + 72x + -36x2 + 6x3 + -1x(4 + -2x + (-2x + x2)) = 0

Combine like terms: -2x + -2x = -4x
-48 + 72x + -36x2 + 6x3 + -1x(4 + -4x + x2) = 0
-48 + 72x + -36x2 + 6x3 + (4 * -1x + -4x * -1x + x2 * -1x) = 0
-48 + 72x + -36x2 + 6x3 + (-4x + 4x2 + -1x3) = 0

Reorder the terms:
-48 + 72x + -4x + -36x2 + 4x2 + 6x3 + -1x3 = 0

Combine like terms: 72x + -4x = 68x
-48 + 68x + -36x2 + 4x2 + 6x3 + -1x3 = 0

Combine like terms: -36x2 + 4x2 = -32x2
-48 + 68x + -32x2 + 6x3 + -1x3 = 0

Combine like terms: 6x3 + -1x3 = 5x3
-48 + 68x + -32x2 + 5x3 = 0

Solving
-48 + 68x + -32x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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