(p-3q)(p-3q)=

Solution for (p-3q)(p-3q)= equation:

Simplifying
(p + -3q)(p + -3q) = 0

Multiply (p + -3q) * (p + -3q)
(p(p + -3q) + -3q * (p + -3q)) = 0
((p * p + -3q * p) + -3q * (p + -3q)) = 0

Reorder the terms:
((-3pq + p2) + -3q * (p + -3q)) = 0
((-3pq + p2) + -3q * (p + -3q)) = 0
(-3pq + p2 + (p * -3q + -3q * -3q)) = 0
(-3pq + p2 + (-3pq + 9q2)) = 0

Reorder the terms:
(-3pq + -3pq + p2 + 9q2) = 0

Combine like terms: -3pq + -3pq = -6pq
(-6pq + p2 + 9q2) = 0

Solving
-6pq + p2 + 9q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -3q)(p + -3q) = 0

Subproblem 1
Set the factor '(p + -3q)' equal to zero and attempt to solve:

Simplifying
p + -3q = 0

Solving
p + -3q = 0

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

Add '3q' to each side of the equation.
p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
p + 0 = 0 + 3q
p = 0 + 3q
Remove the zero:
p = 3q

Simplifying
p = 3q
Subproblem 2
Set the factor '(p + -3q)' equal to zero and attempt to solve:

Simplifying
p + -3q = 0

Solving
p + -3q = 0

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

Add '3q' to each side of the equation.
p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
p + 0 = 0 + 3q
p = 0 + 3q
Remove the zero:
p = 3q

Simplifying
p = 3q
Solution
p = {3q, 3q}