(p+5)(p-5)=0

Solution for (p+5)(p-5)=0 equation:

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

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

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

Multiply (5 + p) * (-5 + p)
(5(-5 + p) + p(-5 + p)) = 0
((-5 * 5 + p * 5) + p(-5 + p)) = 0
((-25 + 5p) + p(-5 + p)) = 0
(-25 + 5p + (-5 * p + p * p)) = 0
(-25 + 5p + (-5p + p2)) = 0

Combine like terms: 5p + -5p = 0
(-25 + 0 + p2) = 0
(-25 + p2) = 0

Solving
-25 + p2 = 0

Solving for variable 'p'.

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

Add '25' to each side of the equation.
-25 + 25 + p2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + p2 = 0 + 25
p2 = 0 + 25

Combine like terms: 0 + 25 = 25
p2 = 25

Simplifying
p2 = 25

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