(3w+4)(3w-4)=

Solution for (3w+4)(3w-4)= equation:

Simplifying
(3w + 4)(3w + -4) = 0

Reorder the terms:
(4 + 3w)(3w + -4) = 0

Reorder the terms:
(4 + 3w)(-4 + 3w) = 0

Multiply (4 + 3w) * (-4 + 3w)
(4(-4 + 3w) + 3w * (-4 + 3w)) = 0
((-4 * 4 + 3w * 4) + 3w * (-4 + 3w)) = 0
((-16 + 12w) + 3w * (-4 + 3w)) = 0
(-16 + 12w + (-4 * 3w + 3w * 3w)) = 0
(-16 + 12w + (-12w + 9w2)) = 0

Combine like terms: 12w + -12w = 0
(-16 + 0 + 9w2) = 0
(-16 + 9w2) = 0

Solving
-16 + 9w2 = 0

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + 9w2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9w2 = 0 + 16
9w2 = 0 + 16

Combine like terms: 0 + 16 = 16
9w2 = 16

Divide each side by '9'.
w2 = 1.777777778

Simplifying
w2 = 1.777777778

Take the square root of each side:
w = {-1.333333333, 1.333333333}