(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 = 0
(0 + 4p2 + -9q2) = 0
(4p2 + -9q2) = 0

Solving
4p2 + -9q2 = 0

Solving for variable 'p'.

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

Add '9q2' to each side of the equation.
4p2 + -9q2 + 9q2 = 0 + 9q2

Combine like terms: -9q2 + 9q2 = 0
4p2 + 0 = 0 + 9q2
4p2 = 0 + 9q2
Remove the zero:
4p2 = 9q2

Divide each side by '4'.
p2 = 2.25q2

Simplifying
p2 = 2.25q2

Take the square root of each side:
p = {-1.5q, 1.5q}