(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}