2p^3-2p^2q+p^3q-p^2q^2=0

Solution for 2p^3-2p^2q+p^3q-p^2q^2=0 equation:

Simplifying
2p3 + -2p2q + p3q + -1p2q2 = 0

Reorder the terms:
-2p2q + -1p2q2 + 2p3 + p3q = 0

Solving
-2p2q + -1p2q2 + 2p3 + p3q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(-2q + -1q2 + 2p + pq) = 0

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(-2q + -1q2 + 2p + pq)' equal to zero and attempt to solve:

Simplifying
-2q + -1q2 + 2p + pq = 0

Reorder the terms:
2p + pq + -2q + -1q2 = 0

Solving
2p + pq + -2q + -1q2 = 0

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

Add '2q' to each side of the equation.
2p + pq + -2q + 2q + -1q2 = 0 + 2q

Combine like terms: -2q + 2q = 0
2p + pq + 0 + -1q2 = 0 + 2q
2p + pq + -1q2 = 0 + 2q
Remove the zero:
2p + pq + -1q2 = 2q

Add 'q2' to each side of the equation.
2p + pq + -1q2 + q2 = 2q + q2

Combine like terms: -1q2 + q2 = 0
2p + pq + 0 = 2q + q2
2p + pq = 2q + q2

The solution to this equation could not be determined.

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