(2p-2q)(2p-2q)=

Solution for (2p-2q)(2p-2q)= equation:

Simplifying
(2p + -2q)(2p + -2q) = 0

Multiply (2p + -2q) * (2p + -2q)
(2p * (2p + -2q) + -2q * (2p + -2q)) = 0
((2p * 2p + -2q * 2p) + -2q * (2p + -2q)) = 0

Reorder the terms:
((-4pq + 4p2) + -2q * (2p + -2q)) = 0
((-4pq + 4p2) + -2q * (2p + -2q)) = 0
(-4pq + 4p2 + (2p * -2q + -2q * -2q)) = 0
(-4pq + 4p2 + (-4pq + 4q2)) = 0

Reorder the terms:
(-4pq + -4pq + 4p2 + 4q2) = 0

Combine like terms: -4pq + -4pq = -8pq
(-8pq + 4p2 + 4q2) = 0

Solving
-8pq + 4p2 + 4q2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2pq + p2 + q2) = 0

Factor a trinomial.
4((p + -1q)(p + -1q)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(p + -1q)' equal to zero and attempt to solve:

Simplifying
p + -1q = 0

Solving
p + -1q = 0

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

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

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

Simplifying
p = q
Subproblem 2
Set the factor '(p + -1q)' equal to zero and attempt to solve:

Simplifying
p + -1q = 0

Solving
p + -1q = 0

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

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

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

Simplifying
p = q
Solution
p = {q, q}