(x^2-4)*(2x-2)*x=0

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Solution for (x^2-4)*(2x-2)*x=0 equation: 


Simplifying
(x2 + -4)(2x + -2) * x = 0

Reorder the terms:
(-4 + x2)(2x + -2) * x = 0

Reorder the terms:
(-4 + x2)(-2 + 2x) * x = 0

Reorder the terms for easier multiplication:
x(-4 + x2)(-2 + 2x) = 0

Multiply (-4 + x2) * (-2 + 2x)
x(-4(-2 + 2x) + x2(-2 + 2x)) = 0
x((-2 * -4 + 2x * -4) + x2(-2 + 2x)) = 0
x((8 + -8x) + x2(-2 + 2x)) = 0
x(8 + -8x + (-2 * x2 + 2x * x2)) = 0
x(8 + -8x + (-2x2 + 2x3)) = 0
x(8 + -8x + -2x2 + 2x3) = 0
(8 * x + -8x * x + -2x2 * x + 2x3 * x) = 0
(8x + -8x2 + -2x3 + 2x4) = 0

Solving
8x + -8x2 + -2x3 + 2x4 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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