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

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

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

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

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

Multiply (5 + 8x) * (-5 + 8x)
(5(-5 + 8x) + 8x * (-5 + 8x)) = 0
((-5 * 5 + 8x * 5) + 8x * (-5 + 8x)) = 0
((-25 + 40x) + 8x * (-5 + 8x)) = 0
(-25 + 40x + (-5 * 8x + 8x * 8x)) = 0
(-25 + 40x + (-40x + 64x2)) = 0

Combine like terms: 40x + -40x = 0
(-25 + 0 + 64x2) = 0
(-25 + 64x2) = 0

Solving
-25 + 64x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 64x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 64x2 = 0 + 25
64x2 = 0 + 25

Combine like terms: 0 + 25 = 25
64x2 = 25

Divide each side by '64'.
x2 = 0.390625

Simplifying
x2 = 0.390625

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