(P+5q)(P-5q)=

Solution for (P+5q)(P-5q)= equation:

Simplifying
(P + 5q)(P + -5q) = 0

Multiply (P + 5q) * (P + -5q)
(P(P + -5q) + 5q * (P + -5q)) = 0
((P * P + -5q * P) + 5q * (P + -5q)) = 0
((P2 + -5qP) + 5q * (P + -5q)) = 0
(P2 + -5qP + (P * 5q + -5q * 5q)) = 0
(P2 + -5qP + (5qP + -25q2)) = 0

Combine like terms: -5qP + 5qP = 0
(P2 + 0 + -25q2) = 0
(P2 + -25q2) = 0

Solving
P2 + -25q2 = 0

Solving for variable 'P'.

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

Add '25q2' to each side of the equation.
P2 + -25q2 + 25q2 = 0 + 25q2

Combine like terms: -25q2 + 25q2 = 0
P2 + 0 = 0 + 25q2
P2 = 0 + 25q2
Remove the zero:
P2 = 25q2

Simplifying
P2 = 25q2

Take the square root of each side:
P = {-5q, 5q}