(3x+4)(3x-4)=0

Solution for (3x+4)(3x-4)=0 equation:

Simplifying
(3x + 4)(3x + -4) = 0

Reorder the terms:
(4 + 3x)(3x + -4) = 0

Reorder the terms:
(4 + 3x)(-4 + 3x) = 0

Multiply (4 + 3x) * (-4 + 3x)
(4(-4 + 3x) + 3x * (-4 + 3x)) = 0
((-4 * 4 + 3x * 4) + 3x * (-4 + 3x)) = 0
((-16 + 12x) + 3x * (-4 + 3x)) = 0
(-16 + 12x + (-4 * 3x + 3x * 3x)) = 0
(-16 + 12x + (-12x + 9x2)) = 0

Combine like terms: 12x + -12x = 0
(-16 + 0 + 9x2) = 0
(-16 + 9x2) = 0

Solving
-16 + 9x2 = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 9x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9x2 = 0 + 16
9x2 = 0 + 16

Combine like terms: 0 + 16 = 16
9x2 = 16

Divide each side by '9'.
x2 = 1.777777778

Simplifying
x2 = 1.777777778

Take the square root of each side:
x = {-1.333333333, 1.333333333}