(8x-3)(8x+3)=0

Solution for (8x-3)(8x+3)=0 equation:

Simplifying
(8x + -3)(8x + 3) = 0

Reorder the terms:
(-3 + 8x)(8x + 3) = 0

Reorder the terms:
(-3 + 8x)(3 + 8x) = 0

Multiply (-3 + 8x) * (3 + 8x)
(-3(3 + 8x) + 8x * (3 + 8x)) = 0
((3 * -3 + 8x * -3) + 8x * (3 + 8x)) = 0
((-9 + -24x) + 8x * (3 + 8x)) = 0
(-9 + -24x + (3 * 8x + 8x * 8x)) = 0
(-9 + -24x + (24x + 64x2)) = 0

Combine like terms: -24x + 24x = 0
(-9 + 0 + 64x2) = 0
(-9 + 64x2) = 0

Solving
-9 + 64x2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 64x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 64x2 = 0 + 9
64x2 = 0 + 9

Combine like terms: 0 + 9 = 9
64x2 = 9

Divide each side by '64'.
x2 = 0.140625

Simplifying
x2 = 0.140625

Take the square root of each side:
x = {-0.375, 0.375}