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

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

Simplifying
(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}