2(x-1)x(2x^2-1)=

Solution for 2(x-1)x(2x^2-1)= equation:

Simplifying
2(x + -1) * x(2x2 + -1) = 0

Reorder the terms:
2(-1 + x) * x(2x2 + -1) = 0

Reorder the terms:
2(-1 + x) * x(-1 + 2x2) = 0

Reorder the terms for easier multiplication:
2x(-1 + x)(-1 + 2x2) = 0

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

Reorder the terms:
2x(1 + -1x + -2x2 + 2x3) = 0
2x(1 + -1x + -2x2 + 2x3) = 0
(1 * 2x + -1x * 2x + -2x2 * 2x + 2x3 * 2x) = 0
(2x + -2x2 + -4x3 + 4x4) = 0

Solving
2x + -2x2 + -4x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + -1x + -2x2 + 2x3) = 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 '(1 + -1x + -2x2 + 2x3)' equal to zero and attempt to solve:

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

Solving
1 + -1x + -2x2 + 2x3 = 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}