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

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

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

Multiply (5 + -1r) * (5 + r)
(5(5 + r) + -1r * (5 + r)) = 0
((5 * 5 + r * 5) + -1r * (5 + r)) = 0
((25 + 5r) + -1r * (5 + r)) = 0
(25 + 5r + (5 * -1r + r * -1r)) = 0
(25 + 5r + (-5r + -1r2)) = 0

Combine like terms: 5r + -5r = 0
(25 + 0 + -1r2) = 0
(25 + -1r2) = 0

Solving
25 + -1r2 = 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 + -1r2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1r2 = 0 + -25
-1r2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1r2 = -25

Divide each side by '-1'.
r2 = 25

Simplifying
r2 = 25

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