x^3=5x*3y

Solution for x^3=5x*3y equation:

Simplifying
x3 = 5x * 3y

Reorder the terms for easier multiplication:
x3 = 5 * 3x * y

Multiply 5 * 3
x3 = 15x * y

Multiply x * y
x3 = 15xy

Solving
x3 = 15xy

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15y + x2) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-15y + x2)' equal to zero and attempt to solve:

Simplifying
-15y + x2 = 0

Reorder the terms:
x2 + -15y = 0

Solving
x2 + -15y = 0

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

Add '15y' to each side of the equation.
x2 + -15y + 15y = 0 + 15y

Combine like terms: -15y + 15y = 0
x2 + 0 = 0 + 15y
x2 = 0 + 15y
Remove the zero:
x2 = 15y

Simplifying
x2 = 15y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}