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

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


Simplifying
-2q2 + 4pq + -2p = -2

Reorder the terms:
-2p + 4pq + -2q2 = -2

Solving
-2p + 4pq + -2q2 = -2

Solving for variable 'p'.

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

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

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

Reorder the terms:
2 + -2p + 4pq + -2q2 = -2 + 2q2 + 2 + -2q2

Reorder the terms:
2 + -2p + 4pq + -2q2 = -2 + 2 + 2q2 + -2q2

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

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -1p + 2pq + -1q2)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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