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

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

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

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

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

Reorder the terms:
(-4pq + 4pq + p2 + -16q2) = 0

Combine like terms: -4pq + 4pq = 0
(0 + p2 + -16q2) = 0
(p2 + -16q2) = 0

Solving
p2 + -16q2 = 0

Solving for variable 'p'.

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

Add '16q2' to each side of the equation.
p2 + -16q2 + 16q2 = 0 + 16q2

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

Simplifying
p2 = 16q2

Take the square root of each side:
p = {-4q, 4q}