(9w-8)(9w+8)=

Solution for (9w-8)(9w+8)= equation:

Simplifying
(9w + -8)(9w + 8) = 0

Reorder the terms:
(-8 + 9w)(9w + 8) = 0

Reorder the terms:
(-8 + 9w)(8 + 9w) = 0

Multiply (-8 + 9w) * (8 + 9w)
(-8(8 + 9w) + 9w * (8 + 9w)) = 0
((8 * -8 + 9w * -8) + 9w * (8 + 9w)) = 0
((-64 + -72w) + 9w * (8 + 9w)) = 0
(-64 + -72w + (8 * 9w + 9w * 9w)) = 0
(-64 + -72w + (72w + 81w2)) = 0

Combine like terms: -72w + 72w = 0
(-64 + 0 + 81w2) = 0
(-64 + 81w2) = 0

Solving
-64 + 81w2 = 0

Solving for variable 'w'.

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

Add '64' to each side of the equation.
-64 + 64 + 81w2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 81w2 = 0 + 64
81w2 = 0 + 64

Combine like terms: 0 + 64 = 64
81w2 = 64

Divide each side by '81'.
w2 = 0.7901234568

Simplifying
w2 = 0.7901234568

Take the square root of each side:
w = {-0.888888889, 0.888888889}