(5-8w)(5+8w)=

Solution for (5-8w)(5+8w)= equation:

Simplifying
(5 + -8w)(5 + 8w) = 0

Multiply (5 + -8w) * (5 + 8w)
(5(5 + 8w) + -8w * (5 + 8w)) = 0
((5 * 5 + 8w * 5) + -8w * (5 + 8w)) = 0
((25 + 40w) + -8w * (5 + 8w)) = 0
(25 + 40w + (5 * -8w + 8w * -8w)) = 0
(25 + 40w + (-40w + -64w2)) = 0

Combine like terms: 40w + -40w = 0
(25 + 0 + -64w2) = 0
(25 + -64w2) = 0

Solving
25 + -64w2 = 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 + -64w2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -64w2 = 0 + -25
-64w2 = 0 + -25

Combine like terms: 0 + -25 = -25
-64w2 = -25

Divide each side by '-64'.
w2 = 0.390625

Simplifying
w2 = 0.390625

Take the square root of each side:
w = {-0.625, 0.625}