(2m+6)(2m-6)=

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

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

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

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

Multiply (6 + 2m) * (-6 + 2m)
(6(-6 + 2m) + 2m * (-6 + 2m)) = 0
((-6 * 6 + 2m * 6) + 2m * (-6 + 2m)) = 0
((-36 + 12m) + 2m * (-6 + 2m)) = 0
(-36 + 12m + (-6 * 2m + 2m * 2m)) = 0
(-36 + 12m + (-12m + 4m2)) = 0

Combine like terms: 12m + -12m = 0
(-36 + 0 + 4m2) = 0
(-36 + 4m2) = 0

Solving
-36 + 4m2 = 0

Solving for variable 'm'.

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

Add '36' to each side of the equation.
-36 + 36 + 4m2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4m2 = 0 + 36
4m2 = 0 + 36

Combine like terms: 0 + 36 = 36
4m2 = 36

Divide each side by '4'.
m2 = 9

Simplifying
m2 = 9

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