(8x-6)(8x+6)=0

Solution for (8x-6)(8x+6)=0 equation:

Simplifying
(8x + -6)(8x + 6) = 0

Reorder the terms:
(-6 + 8x)(8x + 6) = 0

Reorder the terms:
(-6 + 8x)(6 + 8x) = 0

Multiply (-6 + 8x) * (6 + 8x)
(-6(6 + 8x) + 8x * (6 + 8x)) = 0
((6 * -6 + 8x * -6) + 8x * (6 + 8x)) = 0
((-36 + -48x) + 8x * (6 + 8x)) = 0
(-36 + -48x + (6 * 8x + 8x * 8x)) = 0
(-36 + -48x + (48x + 64x2)) = 0

Combine like terms: -48x + 48x = 0
(-36 + 0 + 64x2) = 0
(-36 + 64x2) = 0

Solving
-36 + 64x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 64x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 64x2 = 0 + 36
64x2 = 0 + 36

Combine like terms: 0 + 36 = 36
64x2 = 36

Divide each side by '64'.
x2 = 0.5625

Simplifying
x2 = 0.5625

Take the square root of each side:
x = {-0.75, 0.75}