(5w+4)(5w-4)=0

Solution for (5w+4)(5w-4)=0 equation:

Simplifying
(5w + 4)(5w + -4) = 0

Reorder the terms:
(4 + 5w)(5w + -4) = 0

Reorder the terms:
(4 + 5w)(-4 + 5w) = 0

Multiply (4 + 5w) * (-4 + 5w)
(4(-4 + 5w) + 5w * (-4 + 5w)) = 0
((-4 * 4 + 5w * 4) + 5w * (-4 + 5w)) = 0
((-16 + 20w) + 5w * (-4 + 5w)) = 0
(-16 + 20w + (-4 * 5w + 5w * 5w)) = 0
(-16 + 20w + (-20w + 25w2)) = 0

Combine like terms: 20w + -20w = 0
(-16 + 0 + 25w2) = 0
(-16 + 25w2) = 0

Solving
-16 + 25w2 = 0

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + 25w2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 25w2 = 0 + 16
25w2 = 0 + 16

Combine like terms: 0 + 16 = 16
25w2 = 16

Divide each side by '25'.
w2 = 0.64

Simplifying
w2 = 0.64

Take the square root of each side:
w = {-0.8, 0.8}