pq^2+pq+p^2q=

Solution for pq^2+pq+p^2q= equation:

Simplifying
pq2 + pq + p2q = 0

Reorder the terms:
pq + pq2 + p2q = 0

Solving
pq + pq2 + p2q = 0

Solving for variable 'p'.

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

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

Simplifying
pq = 0

Solving
pq = 0

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

Simplifying
pq = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + q + p)' equal to zero and attempt to solve:

Simplifying
1 + q + p = 0

Reorder the terms:
1 + p + q = 0

Solving
1 + p + q = 0

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

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

Reorder the terms:
1 + -1 + p + q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p + q = 0 + -1
p + q = 0 + -1

Combine like terms: 0 + -1 = -1
p + q = -1

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

Combine like terms: q + -1q = 0
p + 0 = -1 + -1q
p = -1 + -1q

Simplifying
p = -1 + -1q
Solution
p = {-1 + -1q}