0=x^3-4x^2

Solution for 0=x^3-4x^2 equation:

Simplifying
0 = x3 + -4x2

Reorder the terms:
0 = -4x2 + x3

Solving
0 = -4x2 + x3

Solving for variable 'x'.
Remove the zero:
4x2 + -1x3 = -4x2 + x3 + 4x2 + -1x3

Reorder the terms:
4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
4x2 + -1x3 = 0 + x3 + -1x3
4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
4x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}