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

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

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

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

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

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

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

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

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

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