(2p-3q)(2p-3q)=

Solution for (2p-3q)(2p-3q)= equation:

Simplifying
(2p + -3q)(2p + -3q) = 0

Multiply (2p + -3q) * (2p + -3q)
(2p * (2p + -3q) + -3q * (2p + -3q)) = 0
((2p * 2p + -3q * 2p) + -3q * (2p + -3q)) = 0

Reorder the terms:
((-6pq + 4p2) + -3q * (2p + -3q)) = 0
((-6pq + 4p2) + -3q * (2p + -3q)) = 0
(-6pq + 4p2 + (2p * -3q + -3q * -3q)) = 0
(-6pq + 4p2 + (-6pq + 9q2)) = 0

Reorder the terms:
(-6pq + -6pq + 4p2 + 9q2) = 0

Combine like terms: -6pq + -6pq = -12pq
(-12pq + 4p2 + 9q2) = 0

Solving
-12pq + 4p2 + 9q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2p + -3q)(2p + -3q) = 0

Subproblem 1
Set the factor '(2p + -3q)' equal to zero and attempt to solve:

Simplifying
2p + -3q = 0

Solving
2p + -3q = 0

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

Add '3q' to each side of the equation.
2p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
2p + 0 = 0 + 3q
2p = 0 + 3q
Remove the zero:
2p = 3q

Divide each side by '2'.
p = 1.5q

Simplifying
p = 1.5q
Subproblem 2
Set the factor '(2p + -3q)' equal to zero and attempt to solve:

Simplifying
2p + -3q = 0

Solving
2p + -3q = 0

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

Add '3q' to each side of the equation.
2p + -3q + 3q = 0 + 3q

Combine like terms: -3q + 3q = 0
2p + 0 = 0 + 3q
2p = 0 + 3q
Remove the zero:
2p = 3q

Divide each side by '2'.
p = 1.5q

Simplifying
p = 1.5q
Solution
p = {1.5q, 1.5q}