=x^2(x-2)

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

Simplifying
0 = x2(x + -2)

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

Solving
0 = -2x2 + x3

Solving for variable 'x'.
Remove the zero:
2x2 + -1x3 = -2x2 + x3 + 2x2 + -1x3

Reorder the terms:
2x2 + -1x3 = -2x2 + 2x2 + x3 + -1x3

Combine like terms: -2x2 + 2x2 = 0
2x2 + -1x3 = 0 + x3 + -1x3
2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
2x2 + -1x3 = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}