(9w-5)(9w+5)=

Solution for (9w-5)(9w+5)= equation:

Simplifying
(9w + -5)(9w + 5) = 0

Reorder the terms:
(-5 + 9w)(9w + 5) = 0

Reorder the terms:
(-5 + 9w)(5 + 9w) = 0

Multiply (-5 + 9w) * (5 + 9w)
(-5(5 + 9w) + 9w * (5 + 9w)) = 0
((5 * -5 + 9w * -5) + 9w * (5 + 9w)) = 0
((-25 + -45w) + 9w * (5 + 9w)) = 0
(-25 + -45w + (5 * 9w + 9w * 9w)) = 0
(-25 + -45w + (45w + 81w2)) = 0

Combine like terms: -45w + 45w = 0
(-25 + 0 + 81w2) = 0
(-25 + 81w2) = 0

Solving
-25 + 81w2 = 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 + 81w2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 81w2 = 0 + 25
81w2 = 0 + 25

Combine like terms: 0 + 25 = 25
81w2 = 25

Divide each side by '81'.
w2 = 0.3086419753

Simplifying
w2 = 0.3086419753

Take the square root of each side:
w = {-0.555555556, 0.555555556}