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

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

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

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

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

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

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

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

Divide each side by '25'.
w2 = 2.56

Simplifying
w2 = 2.56

Take the square root of each side:
w = {-1.6, 1.6}