(3w+5)(3w-5)=

Solution for (3w+5)(3w-5)= equation:

Simplifying
(3w + 5)(3w + -5) = 0

Reorder the terms:
(5 + 3w)(3w + -5) = 0

Reorder the terms:
(5 + 3w)(-5 + 3w) = 0

Multiply (5 + 3w) * (-5 + 3w)
(5(-5 + 3w) + 3w * (-5 + 3w)) = 0
((-5 * 5 + 3w * 5) + 3w * (-5 + 3w)) = 0
((-25 + 15w) + 3w * (-5 + 3w)) = 0
(-25 + 15w + (-5 * 3w + 3w * 3w)) = 0
(-25 + 15w + (-15w + 9w2)) = 0

Combine like terms: 15w + -15w = 0
(-25 + 0 + 9w2) = 0
(-25 + 9w2) = 0

Solving
-25 + 9w2 = 0

Solving for variable 'w'.

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

Add '25' to each side of the equation.
-25 + 25 + 9w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9w2 = 0 + 25
9w2 = 0 + 25

Combine like terms: 0 + 25 = 25
9w2 = 25

Divide each side by '9'.
w2 = 2.777777778

Simplifying
w2 = 2.777777778

Take the square root of each side:
w = {-1.666666667, 1.666666667}