(2a-2)(6a+6)=

Solution for (2a-2)(6a+6)= equation:

Simplifying
(2a + -2)(6a + 6) = 0

Reorder the terms:
(-2 + 2a)(6a + 6) = 0

Reorder the terms:
(-2 + 2a)(6 + 6a) = 0

Multiply (-2 + 2a) * (6 + 6a)
(-2(6 + 6a) + 2a * (6 + 6a)) = 0
((6 * -2 + 6a * -2) + 2a * (6 + 6a)) = 0
((-12 + -12a) + 2a * (6 + 6a)) = 0
(-12 + -12a + (6 * 2a + 6a * 2a)) = 0
(-12 + -12a + (12a + 12a2)) = 0

Combine like terms: -12a + 12a = 0
(-12 + 0 + 12a2) = 0
(-12 + 12a2) = 0

Solving
-12 + 12a2 = 0

Solving for variable 'a'.

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

Add '12' to each side of the equation.
-12 + 12 + 12a2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 12a2 = 0 + 12
12a2 = 0 + 12

Combine like terms: 0 + 12 = 12
12a2 = 12

Divide each side by '12'.
a2 = 1

Simplifying
a2 = 1

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