p^3+2xp^2-y^2p^2-2xy^2p=0

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Solution for p^3+2xp^2-y^2p^2-2xy^2p=0 equation: 


Simplifying
p3 + 2xp2 + -1y2p2 + -2xy2p = 0

Reorder the terms:
-2pxy2 + 2p2x + -1p2y2 + p3 = 0

Solving
-2pxy2 + 2p2x + -1p2y2 + p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-2xy2 + 2px + -1py2 + p2) = 0


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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-2xy2 + 2px + -1py2 + p2)' equal to zero and attempt to solve:

Simplifying
-2xy2 + 2px + -1py2 + p2 = 0

Reorder the terms:
2px + -1py2 + p2 + -2xy2 = 0

Solving
2px + -1py2 + p2 + -2xy2 = 0

The solution to this equation could not be determined.

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

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