(p-q)(p-q)=

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

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

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

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

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

Combine like terms: -1pq + -1pq = -2pq
(-2pq + p2 + 1q2) = 0

Solving
-2pq + p2 + 1q2 = 0

Solving for variable 'p'.

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

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}