(3w+2)(3w-2)=

Solution for (3w+2)(3w-2)= equation:

Simplifying
(3w + 2)(3w + -2) = 0

Reorder the terms:
(2 + 3w)(3w + -2) = 0

Reorder the terms:
(2 + 3w)(-2 + 3w) = 0

Multiply (2 + 3w) * (-2 + 3w)
(2(-2 + 3w) + 3w * (-2 + 3w)) = 0
((-2 * 2 + 3w * 2) + 3w * (-2 + 3w)) = 0
((-4 + 6w) + 3w * (-2 + 3w)) = 0
(-4 + 6w + (-2 * 3w + 3w * 3w)) = 0
(-4 + 6w + (-6w + 9w2)) = 0

Combine like terms: 6w + -6w = 0
(-4 + 0 + 9w2) = 0
(-4 + 9w2) = 0

Solving
-4 + 9w2 = 0

Solving for variable 'w'.

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

Add '4' to each side of the equation.
-4 + 4 + 9w2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9w2 = 0 + 4
9w2 = 0 + 4

Combine like terms: 0 + 4 = 4
9w2 = 4

Divide each side by '9'.
w2 = 0.4444444444

Simplifying
w2 = 0.4444444444

Take the square root of each side:
w = {-0.666666667, 0.666666667}