x^3-64x^2=0

Solution for x^3-64x^2=0 equation:

Simplifying
x3 + -64x2 = 0

Reorder the terms:
-64x2 + x3 = 0

Solving
-64x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-64 + x) = 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 '(-64 + x)' equal to zero and attempt to solve:

Simplifying
-64 + x = 0

Solving
-64 + x = 0

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

Add '64' to each side of the equation.
-64 + 64 + x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x = 0 + 64
x = 0 + 64

Combine like terms: 0 + 64 = 64
x = 64

Simplifying
x = 64
Solution
x = {0, 64}