(r-2)(r+2)=

Solution for (r-2)(r+2)= equation:

Simplifying
(r + -2)(r + 2) = 0

Reorder the terms:
(-2 + r)(r + 2) = 0

Reorder the terms:
(-2 + r)(2 + r) = 0

Multiply (-2 + r) * (2 + r)
(-2(2 + r) + r(2 + r)) = 0
((2 * -2 + r * -2) + r(2 + r)) = 0
((-4 + -2r) + r(2 + r)) = 0
(-4 + -2r + (2 * r + r * r)) = 0
(-4 + -2r + (2r + r2)) = 0

Combine like terms: -2r + 2r = 0
(-4 + 0 + r2) = 0
(-4 + r2) = 0

Solving
-4 + r2 = 0

Solving for variable 'r'.

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

Add '4' to each side of the equation.
-4 + 4 + r2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + r2 = 0 + 4
r2 = 0 + 4

Combine like terms: 0 + 4 = 4
r2 = 4

Simplifying
r2 = 4

Take the square root of each side:
r = {-2, 2}