x^3-xy^3=0

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Solution for x^3-xy^3=0 equation: 


Simplifying
x3 + -1xy3 = 0

Reorder the terms:
-1xy3 + x3 = 0

Solving
-1xy3 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1y3 + 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 '(-1y3 + x2)' equal to zero and attempt to solve:

Simplifying
-1y3 + x2 = 0

Reorder the terms:
x2 + -1y3 = 0

Solving
x2 + -1y3 = 0

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

Add 'y3' to each side of the equation.
x2 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
x2 + 0 = 0 + y3
x2 = 0 + y3
Remove the zero:
x2 = y3

Simplifying
x2 = y3

The solution to this equation could not be determined.

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

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