(p+9q)(p-9q)=

Solution for (p+9q)(p-9q)= equation:

Simplifying
(p + 9q)(p + -9q) = 0

Multiply (p + 9q) * (p + -9q)
(p(p + -9q) + 9q * (p + -9q)) = 0
((p * p + -9q * p) + 9q * (p + -9q)) = 0

Reorder the terms:
((-9pq + p2) + 9q * (p + -9q)) = 0
((-9pq + p2) + 9q * (p + -9q)) = 0
(-9pq + p2 + (p * 9q + -9q * 9q)) = 0
(-9pq + p2 + (9pq + -81q2)) = 0

Reorder the terms:
(-9pq + 9pq + p2 + -81q2) = 0

Combine like terms: -9pq + 9pq = 0
(0 + p2 + -81q2) = 0
(p2 + -81q2) = 0

Solving
p2 + -81q2 = 0

Solving for variable 'p'.

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

Add '81q2' to each side of the equation.
p2 + -81q2 + 81q2 = 0 + 81q2

Combine like terms: -81q2 + 81q2 = 0
p2 + 0 = 0 + 81q2
p2 = 0 + 81q2
Remove the zero:
p2 = 81q2

Simplifying
p2 = 81q2

Take the square root of each side:
p = {-9q, 9q}