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

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

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

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

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

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

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

Solving
-64 + 25x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '25'.
x2 = 2.56

Simplifying
x2 = 2.56

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