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

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

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

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

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

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

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

Solving
-64 + 9x2 = 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 + 9x2 = 0 + 64

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

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

Divide each side by '9'.
x2 = 7.111111111

Simplifying
x2 = 7.111111111

Take the square root of each side:
x = {-2.666666667, 2.666666667}