x^3=15x^2

Solution for x^3=15x^2 equation:

Simplifying
x3 = 15x2

Solving
x3 = 15x2

Solving for variable 'x'.

Reorder the terms:
-15x2 + x3 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-15x2 + x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-15 + 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 '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15
Solution
x = {0, 15}