(r+5)(r-5)=

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

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

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

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

Multiply (5 + r) * (-5 + r)
(5(-5 + r) + r(-5 + r)) = 0
((-5 * 5 + r * 5) + r(-5 + r)) = 0
((-25 + 5r) + r(-5 + r)) = 0
(-25 + 5r + (-5 * r + r * r)) = 0
(-25 + 5r + (-5r + r2)) = 0

Combine like terms: 5r + -5r = 0
(-25 + 0 + r2) = 0
(-25 + r2) = 0

Solving
-25 + r2 = 0

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + r2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + r2 = 0 + 25
r2 = 0 + 25

Combine like terms: 0 + 25 = 25
r2 = 25

Simplifying
r2 = 25

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