(2w+6)(2w-6)=

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

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

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

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

Multiply (6 + 2w) * (-6 + 2w)
(6(-6 + 2w) + 2w * (-6 + 2w)) = 0
((-6 * 6 + 2w * 6) + 2w * (-6 + 2w)) = 0
((-36 + 12w) + 2w * (-6 + 2w)) = 0
(-36 + 12w + (-6 * 2w + 2w * 2w)) = 0
(-36 + 12w + (-12w + 4w2)) = 0

Combine like terms: 12w + -12w = 0
(-36 + 0 + 4w2) = 0
(-36 + 4w2) = 0

Solving
-36 + 4w2 = 0

Solving for variable 'w'.

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

Add '36' to each side of the equation.
-36 + 36 + 4w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 4w2 = 0 + 36
4w2 = 0 + 36

Combine like terms: 0 + 36 = 36
4w2 = 36

Divide each side by '4'.
w2 = 9

Simplifying
w2 = 9

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