(2r-2)(4r+4)=

Solution for (2r-2)(4r+4)= equation:

Simplifying
(2r + -2)(4r + 4) = 0

Reorder the terms:
(-2 + 2r)(4r + 4) = 0

Reorder the terms:
(-2 + 2r)(4 + 4r) = 0

Multiply (-2 + 2r) * (4 + 4r)
(-2(4 + 4r) + 2r * (4 + 4r)) = 0
((4 * -2 + 4r * -2) + 2r * (4 + 4r)) = 0
((-8 + -8r) + 2r * (4 + 4r)) = 0
(-8 + -8r + (4 * 2r + 4r * 2r)) = 0
(-8 + -8r + (8r + 8r2)) = 0

Combine like terms: -8r + 8r = 0
(-8 + 0 + 8r2) = 0
(-8 + 8r2) = 0

Solving
-8 + 8r2 = 0

Solving for variable 'r'.

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

Add '8' to each side of the equation.
-8 + 8 + 8r2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 8r2 = 0 + 8
8r2 = 0 + 8

Combine like terms: 0 + 8 = 8
8r2 = 8

Divide each side by '8'.
r2 = 1

Simplifying
r2 = 1

Take the square root of each side:
r = {-1, 1}