(2x^3-2x)(2x(x-3))=

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Solution for (2x^3-2x)(2x(x-3))= equation: 


Simplifying
(2x3 + -2x)(2x(x + -3)) = 0

Reorder the terms:
(-2x + 2x3)(2x(x + -3)) = 0

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

Multiply (-2x + 2x3) * (-6x + 2x2)
(-2x * (-6x + 2x2) + 2x3 * (-6x + 2x2)) = 0
((-6x * -2x + 2x2 * -2x) + 2x3 * (-6x + 2x2)) = 0
((12x2 + -4x3) + 2x3 * (-6x + 2x2)) = 0
(12x2 + -4x3 + (-6x * 2x3 + 2x2 * 2x3)) = 0
(12x2 + -4x3 + (-12x4 + 4x5)) = 0
(12x2 + -4x3 + -12x4 + 4x5) = 0

Solving
12x2 + -4x3 + -12x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(3 + -1x + -3x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(3 + -1x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
3 + -1x + -3x2 + x3 = 0

Solving
3 + -1x + -3x2 + 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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