(16x-5)(16x+5)=0

Solution for (16x-5)(16x+5)=0 equation:

Simplifying
(16x + -5)(16x + 5) = 0

Reorder the terms:
(-5 + 16x)(16x + 5) = 0

Reorder the terms:
(-5 + 16x)(5 + 16x) = 0

Multiply (-5 + 16x) * (5 + 16x)
(-5(5 + 16x) + 16x * (5 + 16x)) = 0
((5 * -5 + 16x * -5) + 16x * (5 + 16x)) = 0
((-25 + -80x) + 16x * (5 + 16x)) = 0
(-25 + -80x + (5 * 16x + 16x * 16x)) = 0
(-25 + -80x + (80x + 256x2)) = 0

Combine like terms: -80x + 80x = 0
(-25 + 0 + 256x2) = 0
(-25 + 256x2) = 0

Solving
-25 + 256x2 = 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 + 256x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 256x2 = 0 + 25
256x2 = 0 + 25

Combine like terms: 0 + 25 = 25
256x2 = 25

Divide each side by '256'.
x2 = 0.09765625

Simplifying
x2 = 0.09765625

Take the square root of each side:
x = {-0.3125, 0.3125}