(4p+3q)(4p-3q)=

Solution for (4p+3q)(4p-3q)= equation:

Simplifying
(4p + 3q)(4p + -3q) = 0

Multiply (4p + 3q) * (4p + -3q)
(4p * (4p + -3q) + 3q * (4p + -3q)) = 0
((4p * 4p + -3q * 4p) + 3q * (4p + -3q)) = 0

Reorder the terms:
((-12pq + 16p2) + 3q * (4p + -3q)) = 0
((-12pq + 16p2) + 3q * (4p + -3q)) = 0
(-12pq + 16p2 + (4p * 3q + -3q * 3q)) = 0
(-12pq + 16p2 + (12pq + -9q2)) = 0

Reorder the terms:
(-12pq + 12pq + 16p2 + -9q2) = 0

Combine like terms: -12pq + 12pq = 0
(0 + 16p2 + -9q2) = 0
(16p2 + -9q2) = 0

Solving
16p2 + -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.
16p2 + -9q2 + 9q2 = 0 + 9q2

Combine like terms: -9q2 + 9q2 = 0
16p2 + 0 = 0 + 9q2
16p2 = 0 + 9q2
Remove the zero:
16p2 = 9q2

Divide each side by '16'.
p2 = 0.5625q2

Simplifying
p2 = 0.5625q2

Take the square root of each side:
p = {-0.75q, 0.75q}