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

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

Simplifying
p2 + 4q2 + -4pq + 4pq + -1(p + -1q)(p + q) = 0

Multiply (p + -1q) * (p + q)
p2 + 4q2 + -4pq + 4pq + -1(p(p + q) + -1q * (p + q)) = 0
p2 + 4q2 + -4pq + 4pq + -1((p * p + q * p) + -1q * (p + q)) = 0

Reorder the terms:
p2 + 4q2 + -4pq + 4pq + -1((pq + p2) + -1q * (p + q)) = 0
p2 + 4q2 + -4pq + 4pq + -1((pq + p2) + -1q * (p + q)) = 0
p2 + 4q2 + -4pq + 4pq + -1(pq + p2 + (p * -1q + q * -1q)) = 0
p2 + 4q2 + -4pq + 4pq + -1(pq + p2 + (-1pq + -1q2)) = 0

Reorder the terms:
p2 + 4q2 + -4pq + 4pq + -1(pq + -1pq + p2 + -1q2) = 0

Combine like terms: pq + -1pq = 0
p2 + 4q2 + -4pq + 4pq + -1(0 + p2 + -1q2) = 0
p2 + 4q2 + -4pq + 4pq + -1(p2 + -1q2) = 0
p2 + 4q2 + -4pq + 4pq + (p2 * -1 + -1q2 * -1) = 0
p2 + 4q2 + -4pq + 4pq + (-1p2 + 1q2) = 0

Reorder the terms:
-4pq + 4pq + p2 + -1p2 + 4q2 + 1q2 = 0

Combine like terms: -4pq + 4pq = 0
0 + p2 + -1p2 + 4q2 + 1q2 = 0
p2 + -1p2 + 4q2 + 1q2 = 0

Combine like terms: p2 + -1p2 = 0
0 + 4q2 + 1q2 = 0
4q2 + 1q2 = 0

Combine like terms: 4q2 + 1q2 = 5q2
5q2 = 0

Solving
5q2 = 0

Solving for variable 'q'.

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

Divide each side by '5'.
q2 = 0

Simplifying
q2 = 0

Take the square root of each side:
q = {0}