x(2x-2)(3x+1)(x-1)=0

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Solution for x(2x-2)(3x+1)(x-1)=0 equation: 


Simplifying
x(2x + -2)(3x + 1)(x + -1) = 0

Reorder the terms:
x(-2 + 2x)(3x + 1)(x + -1) = 0

Reorder the terms:
x(-2 + 2x)(1 + 3x)(x + -1) = 0

Reorder the terms:
x(-2 + 2x)(1 + 3x)(-1 + x) = 0

Multiply (-2 + 2x) * (1 + 3x)
x(-2(1 + 3x) + 2x * (1 + 3x))(-1 + x) = 0
x((1 * -2 + 3x * -2) + 2x * (1 + 3x))(-1 + x) = 0
x((-2 + -6x) + 2x * (1 + 3x))(-1 + x) = 0
x(-2 + -6x + (1 * 2x + 3x * 2x))(-1 + x) = 0
x(-2 + -6x + (2x + 6x2))(-1 + x) = 0

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

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

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

Combine like terms: -4x2 + -6x2 = -10x2
x(2 + 2x + -10x2 + 6x3) = 0
(2 * x + 2x * x + -10x2 * x + 6x3 * x) = 0
(2x + 2x2 + -10x3 + 6x4) = 0

Solving
2x + 2x2 + -10x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + x + -5x2 + 3x3) = 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 + x + -5x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
1 + x + -5x2 + 3x3 = 0

Solving
1 + x + -5x2 + 3x3 = 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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