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

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


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

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

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

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

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

Combine like terms: 2x + 1x = 3x
x(2 + 3x + x2)(-1 + x) = 0

Multiply (2 + 3x + x2) * (-1 + x)
x(2(-1 + x) + 3x * (-1 + x) + x2(-1 + x)) = 0
x((-1 * 2 + x * 2) + 3x * (-1 + x) + x2(-1 + x)) = 0
x((-2 + 2x) + 3x * (-1 + x) + x2(-1 + x)) = 0
x(-2 + 2x + (-1 * 3x + x * 3x) + x2(-1 + x)) = 0
x(-2 + 2x + (-3x + 3x2) + x2(-1 + x)) = 0
x(-2 + 2x + -3x + 3x2 + (-1 * x2 + x * x2)) = 0
x(-2 + 2x + -3x + 3x2 + (-1x2 + x3)) = 0

Combine like terms: 2x + -3x = -1x
x(-2 + -1x + 3x2 + -1x2 + x3) = 0

Combine like terms: 3x2 + -1x2 = 2x2
x(-2 + -1x + 2x2 + x3) = 0
(-2 * x + -1x * x + 2x2 * x + x3 * x) = 0
(-2x + -1x2 + 2x3 + x4) = 0

Solving
-2x + -1x2 + 2x3 + x4 = 0

Solving for variable 'x'.

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


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 '(-2 + -1x + 2x2 + x3)' equal to zero and attempt to solve:

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

Solving
-2 + -1x + 2x2 + 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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