(9x+1)(9x-1)=0

Solution for (9x+1)(9x-1)=0 equation:

Simplifying
(9x + 1)(9x + -1) = 0

Reorder the terms:
(1 + 9x)(9x + -1) = 0

Reorder the terms:
(1 + 9x)(-1 + 9x) = 0

Multiply (1 + 9x) * (-1 + 9x)
(1(-1 + 9x) + 9x * (-1 + 9x)) = 0
((-1 * 1 + 9x * 1) + 9x * (-1 + 9x)) = 0
((-1 + 9x) + 9x * (-1 + 9x)) = 0
(-1 + 9x + (-1 * 9x + 9x * 9x)) = 0
(-1 + 9x + (-9x + 81x2)) = 0

Combine like terms: 9x + -9x = 0
(-1 + 0 + 81x2) = 0
(-1 + 81x2) = 0

Solving
-1 + 81x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 81x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 81x2 = 0 + 1
81x2 = 0 + 1

Combine like terms: 0 + 1 = 1
81x2 = 1

Divide each side by '81'.
x2 = 0.01234567901

Simplifying
x2 = 0.01234567901

Take the square root of each side:
x = {-0.111111111, 0.111111111}