(p+q)(p-q)=

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

Simplifying
(p + q)(p + -1q) = 0

Multiply (p + q) * (p + -1q)
(p(p + -1q) + q(p + -1q)) = 0
((p * p + -1q * p) + q(p + -1q)) = 0

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

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

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

Solving
p2 + -1q2 = 0

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 = 0 + q2

Combine like terms: -1q2 + q2 = 0
p2 + 0 = 0 + q2
p2 = 0 + q2
Remove the zero:
p2 = q2

Simplifying
p2 = q2

Take the square root of each side:
p = {-1q, q}