y^3-zy=xy^2

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Solution for y^3-zy=xy^2 equation: 


Simplifying
y3 + -1zy = xy2

Reorder the terms:
-1yz + y3 = xy2

Solving
-1yz + y3 = xy2

Solving for variable 'y'.

Reorder the terms:
-1xy2 + -1yz + y3 = xy2 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
-1xy2 + -1yz + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1xy + -1z + y2) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-1xy + -1z + y2)' equal to zero and attempt to solve:

Simplifying
-1xy + -1z + y2 = 0

Reorder the terms:
-1xy + y2 + -1z = 0

Solving
-1xy + y2 + -1z = 0

The solution to this equation could not be determined.

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

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