(p-10q)(p+10q)=

Solution for (p-10q)(p+10q)= equation:

Simplifying
(p + -10q)(p + 10q) = 0

Multiply (p + -10q) * (p + 10q)
(p(p + 10q) + -10q * (p + 10q)) = 0
((p * p + 10q * p) + -10q * (p + 10q)) = 0

Reorder the terms:
((10pq + p2) + -10q * (p + 10q)) = 0
((10pq + p2) + -10q * (p + 10q)) = 0
(10pq + p2 + (p * -10q + 10q * -10q)) = 0
(10pq + p2 + (-10pq + -100q2)) = 0

Reorder the terms:
(10pq + -10pq + p2 + -100q2) = 0

Combine like terms: 10pq + -10pq = 0
(0 + p2 + -100q2) = 0
(p2 + -100q2) = 0

Solving
p2 + -100q2 = 0

Solving for variable 'p'.

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

Add '100q2' to each side of the equation.
p2 + -100q2 + 100q2 = 0 + 100q2

Combine like terms: -100q2 + 100q2 = 0
p2 + 0 = 0 + 100q2
p2 = 0 + 100q2
Remove the zero:
p2 = 100q2

Simplifying
p2 = 100q2

Take the square root of each side:
p = {-10q, 10q}