(5q-p)(5q+p)=

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

Simplifying
(5q + -1p)(5q + p) = 0

Reorder the terms:
(-1p + 5q)(5q + p) = 0

Reorder the terms:
(-1p + 5q)(p + 5q) = 0

Multiply (-1p + 5q) * (p + 5q)
(-1p * (p + 5q) + 5q * (p + 5q)) = 0
((p * -1p + 5q * -1p) + 5q * (p + 5q)) = 0

Reorder the terms:
((-5pq + -1p2) + 5q * (p + 5q)) = 0
((-5pq + -1p2) + 5q * (p + 5q)) = 0
(-5pq + -1p2 + (p * 5q + 5q * 5q)) = 0
(-5pq + -1p2 + (5pq + 25q2)) = 0

Reorder the terms:
(-5pq + 5pq + -1p2 + 25q2) = 0

Combine like terms: -5pq + 5pq = 0
(0 + -1p2 + 25q2) = 0
(-1p2 + 25q2) = 0

Solving
-1p2 + 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.
-1p2 + 25q2 + -25q2 = 0 + -25q2

Combine like terms: 25q2 + -25q2 = 0
-1p2 + 0 = 0 + -25q2
-1p2 = 0 + -25q2
Remove the zero:
-1p2 = -25q2

Divide each side by '-1'.
p2 = 25q2

Simplifying
p2 = 25q2

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