(r-6)(r+6)=

Solution for (r-6)(r+6)= equation:

Simplifying
(r + -6)(r + 6) = 0

Reorder the terms:
(-6 + r)(r + 6) = 0

Reorder the terms:
(-6 + r)(6 + r) = 0

Multiply (-6 + r) * (6 + r)
(-6(6 + r) + r(6 + r)) = 0
((6 * -6 + r * -6) + r(6 + r)) = 0
((-36 + -6r) + r(6 + r)) = 0
(-36 + -6r + (6 * r + r * r)) = 0
(-36 + -6r + (6r + r2)) = 0

Combine like terms: -6r + 6r = 0
(-36 + 0 + r2) = 0
(-36 + r2) = 0

Solving
-36 + r2 = 0

Solving for variable 'r'.

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

Add '36' to each side of the equation.
-36 + 36 + r2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + r2 = 0 + 36
r2 = 0 + 36

Combine like terms: 0 + 36 = 36
r2 = 36

Simplifying
r2 = 36

Take the square root of each side:
r = {-6, 6}