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

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

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

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

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

Multiply (-1 + x2) * (1 + x)
0 = -1x2(-1(1 + x) + x2(1 + x))
0 = -1x2((1 * -1 + x * -1) + x2(1 + x))
0 = -1x2((-1 + -1x) + x2(1 + x))
0 = -1x2(-1 + -1x + (1 * x2 + x * x2))
0 = -1x2(-1 + -1x + (1x2 + x3))
0 = -1x2(-1 + -1x + 1x2 + x3)
0 = (-1 * -1x2 + -1x * -1x2 + 1x2 * -1x2 + x3 * -1x2)
0 = (1x2 + 1x3 + -1x4 + -1x5)

Solving
0 = 1x2 + 1x3 + -1x4 + -1x5

Solving for variable 'x'.
Remove the zero:
-1x2 + -1x3 + x4 + x5 = 1x2 + 1x3 + -1x4 + -1x5 + -1x2 + -1x3 + x4 + x5

Reorder the terms:
-1x2 + -1x3 + x4 + x5 = 1x2 + -1x2 + 1x3 + -1x3 + -1x4 + x4 + -1x5 + x5

Combine like terms: 1x2 + -1x2 = 0
-1x2 + -1x3 + x4 + x5 = 0 + 1x3 + -1x3 + -1x4 + x4 + -1x5 + x5
-1x2 + -1x3 + x4 + x5 = 1x3 + -1x3 + -1x4 + x4 + -1x5 + x5

Combine like terms: 1x3 + -1x3 = 0
-1x2 + -1x3 + x4 + x5 = 0 + -1x4 + x4 + -1x5 + x5
-1x2 + -1x3 + x4 + x5 = -1x4 + x4 + -1x5 + x5

Combine like terms: -1x4 + x4 = 0
-1x2 + -1x3 + x4 + x5 = 0 + -1x5 + x5
-1x2 + -1x3 + x4 + x5 = -1x5 + x5

Combine like terms: -1x5 + x5 = 0
-1x2 + -1x3 + x4 + x5 = 0

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

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

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

Solving
-1 + -1x + x2 + 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}