0=x^2(x-5)

Solution for 0=x^2(x-5) equation:

Simplifying
0 = x2(x + -5)

Reorder the terms:
0 = x2(-5 + x)
0 = (-5 * x2 + x * x2)
0 = (-5x2 + x3)

Solving
0 = -5x2 + x3

Solving for variable 'x'.
Remove the zero:
5x2 + -1x3 = -5x2 + x3 + 5x2 + -1x3

Reorder the terms:
5x2 + -1x3 = -5x2 + 5x2 + x3 + -1x3

Combine like terms: -5x2 + 5x2 = 0
5x2 + -1x3 = 0 + x3 + -1x3
5x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
5x2 + -1x3 = 0

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

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 5}