(p+12q)(p-12q)=

Solution for (p+12q)(p-12q)= equation:

Simplifying
(p + 12q)(p + -12q) = 0

Multiply (p + 12q) * (p + -12q)
(p(p + -12q) + 12q * (p + -12q)) = 0
((p * p + -12q * p) + 12q * (p + -12q)) = 0

Reorder the terms:
((-12pq + p2) + 12q * (p + -12q)) = 0
((-12pq + p2) + 12q * (p + -12q)) = 0
(-12pq + p2 + (p * 12q + -12q * 12q)) = 0
(-12pq + p2 + (12pq + -144q2)) = 0

Reorder the terms:
(-12pq + 12pq + p2 + -144q2) = 0

Combine like terms: -12pq + 12pq = 0
(0 + p2 + -144q2) = 0
(p2 + -144q2) = 0

Solving
p2 + -144q2 = 0

Solving for variable 'p'.

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

Add '144q2' to each side of the equation.
p2 + -144q2 + 144q2 = 0 + 144q2

Combine like terms: -144q2 + 144q2 = 0
p2 + 0 = 0 + 144q2
p2 = 0 + 144q2
Remove the zero:
p2 = 144q2

Simplifying
p2 = 144q2

Take the square root of each side:
p = {-12q, 12q}