(9x+2)(9x-2)=0

Solution for (9x+2)(9x-2)=0 equation:

Simplifying
(9x + 2)(9x + -2) = 0

Reorder the terms:
(2 + 9x)(9x + -2) = 0

Reorder the terms:
(2 + 9x)(-2 + 9x) = 0

Multiply (2 + 9x) * (-2 + 9x)
(2(-2 + 9x) + 9x * (-2 + 9x)) = 0
((-2 * 2 + 9x * 2) + 9x * (-2 + 9x)) = 0
((-4 + 18x) + 9x * (-2 + 9x)) = 0
(-4 + 18x + (-2 * 9x + 9x * 9x)) = 0
(-4 + 18x + (-18x + 81x2)) = 0

Combine like terms: 18x + -18x = 0
(-4 + 0 + 81x2) = 0
(-4 + 81x2) = 0

Solving
-4 + 81x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 81x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 81x2 = 0 + 4
81x2 = 0 + 4

Combine like terms: 0 + 4 = 4
81x2 = 4

Divide each side by '81'.
x2 = 0.04938271605

Simplifying
x2 = 0.04938271605

Take the square root of each side:
x = {-0.222222222, 0.222222222}