(2w+9)(2w-9)=

Solution for (2w+9)(2w-9)= equation:

Simplifying
(2w + 9)(2w + -9) = 0

Reorder the terms:
(9 + 2w)(2w + -9) = 0

Reorder the terms:
(9 + 2w)(-9 + 2w) = 0

Multiply (9 + 2w) * (-9 + 2w)
(9(-9 + 2w) + 2w * (-9 + 2w)) = 0
((-9 * 9 + 2w * 9) + 2w * (-9 + 2w)) = 0
((-81 + 18w) + 2w * (-9 + 2w)) = 0
(-81 + 18w + (-9 * 2w + 2w * 2w)) = 0
(-81 + 18w + (-18w + 4w2)) = 0

Combine like terms: 18w + -18w = 0
(-81 + 0 + 4w2) = 0
(-81 + 4w2) = 0

Solving
-81 + 4w2 = 0

Solving for variable 'w'.

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

Add '81' to each side of the equation.
-81 + 81 + 4w2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4w2 = 0 + 81
4w2 = 0 + 81

Combine like terms: 0 + 81 = 81
4w2 = 81

Divide each side by '4'.
w2 = 20.25

Simplifying
w2 = 20.25

Take the square root of each side:
w = {-4.5, 4.5}