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

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

Simplifying
(9p + q)(9p + -1q) = 0

Multiply (9p + q) * (9p + -1q)
(9p * (9p + -1q) + q(9p + -1q)) = 0
((9p * 9p + -1q * 9p) + q(9p + -1q)) = 0

Reorder the terms:
((-9pq + 81p2) + q(9p + -1q)) = 0
((-9pq + 81p2) + q(9p + -1q)) = 0
(-9pq + 81p2 + (9p * q + -1q * q)) = 0
(-9pq + 81p2 + (9pq + -1q2)) = 0

Reorder the terms:
(-9pq + 9pq + 81p2 + -1q2) = 0

Combine like terms: -9pq + 9pq = 0
(0 + 81p2 + -1q2) = 0
(81p2 + -1q2) = 0

Solving
81p2 + -1q2 = 0

Solving for variable 'p'.

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

Add 'q2' to each side of the equation.
81p2 + -1q2 + q2 = 0 + q2

Combine like terms: -1q2 + q2 = 0
81p2 + 0 = 0 + q2
81p2 = 0 + q2
Remove the zero:
81p2 = q2

Divide each side by '81'.
p2 = 0.01234567901q2

Simplifying
p2 = 0.01234567901q2

Take the square root of each side:
p = {-0.111111111q, 0.111111111q}