4pq^2+2p-2q^2-1=0

Solution for 4pq^2+2p-2q^2-1=0 equation:

Simplifying
4pq2 + 2p + -2q2 + -1 = 0

Reorder the terms:
-1 + 2p + 4pq2 + -2q2 = 0

Solving
-1 + 2p + 4pq2 + -2q2 = 0

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 2p + 4pq2 + 1 + -2q2 = 0 + 1

Reorder the terms:
-1 + 1 + 2p + 4pq2 + -2q2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2p + 4pq2 + -2q2 = 0 + 1
2p + 4pq2 + -2q2 = 0 + 1

Combine like terms: 0 + 1 = 1
2p + 4pq2 + -2q2 = 1

Add '2q2' to each side of the equation.
2p + 4pq2 + -2q2 + 2q2 = 1 + 2q2

Combine like terms: -2q2 + 2q2 = 0
2p + 4pq2 + 0 = 1 + 2q2
2p + 4pq2 = 1 + 2q2

Reorder the terms:
-1 + 2p + 4pq2 + -2q2 = 1 + 2q2 + -1 + -2q2

Reorder the terms:
-1 + 2p + 4pq2 + -2q2 = 1 + -1 + 2q2 + -2q2

Combine like terms: 1 + -1 = 0
-1 + 2p + 4pq2 + -2q2 = 0 + 2q2 + -2q2
-1 + 2p + 4pq2 + -2q2 = 2q2 + -2q2

Combine like terms: 2q2 + -2q2 = 0
-1 + 2p + 4pq2 + -2q2 = 0

The solution to this equation could not be determined.