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

Solution for (5w-8)(5w+8)=0 equation:

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

Reorder the terms:
(-8 + 5w)(5w + 8) = 0

Reorder the terms:
(-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}