(p+q)(p-q)=x

Solution for (p+q)(p-q)=x equation:

Simplifying
(p + q)(p + -1q) = x

Multiply (p + q) * (p + -1q)
(p(p + -1q) + q(p + -1q)) = x
((p * p + -1q * p) + q(p + -1q)) = x

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

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

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

Solving
p2 + -1q2 = x

Solving for variable 'p'.

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

Add 'q2' to each side of the equation.
p2 + -1q2 + q2 = q2 + x

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

Simplifying
p2 = q2 + x

Reorder the terms:
p2 + -1q2 + -1x = q2 + -1q2 + x + -1x

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

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

The solution to this equation could not be determined.