(p+5)(5-p)=

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

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

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

Multiply (5 + p) * (5 + -1p)
(5(5 + -1p) + p(5 + -1p)) = 0
((5 * 5 + -1p * 5) + p(5 + -1p)) = 0
((25 + -5p) + p(5 + -1p)) = 0
(25 + -5p + (5 * p + -1p * p)) = 0
(25 + -5p + (5p + -1p2)) = 0

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

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

Combine like terms: 25 + -25 = 0
0 + -1p2 = 0 + -25
-1p2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1p2 = -25

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

Simplifying
p2 = 25

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