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

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

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

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

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

Multiply (-6 + 2a) * (6 + 2a)
(-6(6 + 2a) + 2a * (6 + 2a)) = 0
((6 * -6 + 2a * -6) + 2a * (6 + 2a)) = 0
((-36 + -12a) + 2a * (6 + 2a)) = 0
(-36 + -12a + (6 * 2a + 2a * 2a)) = 0
(-36 + -12a + (12a + 4a2)) = 0

Combine like terms: -12a + 12a = 0
(-36 + 0 + 4a2) = 0
(-36 + 4a2) = 0

Solving
-36 + 4a2 = 0

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 36 + 4a2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4a2 = 0 + 36
4a2 = 0 + 36

Combine like terms: 0 + 36 = 36
4a2 = 36

Divide each side by '4'.
a2 = 9

Simplifying
a2 = 9

Take the square root of each side:
a = {-3, 3}