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

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

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

Reorder the terms for easier multiplication:
x(p + -3q)(p + -3q) = 0

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

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

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

Combine like terms: -3pq + -3pq = -6pq
x(-6pq + p2 + 9q2) = 0
(-6pq * x + p2 * x + 9q2 * x) = 0
(-6pqx + p2x + 9q2x) = 0

Solving
-6pqx + p2x + 9q2x = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6pq + p2 + 9q2) = 0

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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
Subproblem 3
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}