(3w+6)(3w-6)=

Solution for (3w+6)(3w-6)= equation:

Simplifying
(3w + 6)(3w + -6) = 0

Reorder the terms:
(6 + 3w)(3w + -6) = 0

Reorder the terms:
(6 + 3w)(-6 + 3w) = 0

Multiply (6 + 3w) * (-6 + 3w)
(6(-6 + 3w) + 3w * (-6 + 3w)) = 0
((-6 * 6 + 3w * 6) + 3w * (-6 + 3w)) = 0
((-36 + 18w) + 3w * (-6 + 3w)) = 0
(-36 + 18w + (-6 * 3w + 3w * 3w)) = 0
(-36 + 18w + (-18w + 9w2)) = 0

Combine like terms: 18w + -18w = 0
(-36 + 0 + 9w2) = 0
(-36 + 9w2) = 0

Solving
-36 + 9w2 = 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 + 9w2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 9w2 = 0 + 36
9w2 = 0 + 36

Combine like terms: 0 + 36 = 36
9w2 = 36

Divide each side by '9'.
w2 = 4

Simplifying
w2 = 4

Take the square root of each side:
w = {-2, 2}