(3x-1)(3x+1)=1

Solution for (3x-1)(3x+1)=1 equation:

Simplifying
(3x + -1)(3x + 1) = 1

Reorder the terms:
(-1 + 3x)(3x + 1) = 1

Reorder the terms:
(-1 + 3x)(1 + 3x) = 1

Multiply (-1 + 3x) * (1 + 3x)
(-1(1 + 3x) + 3x * (1 + 3x)) = 1
((1 * -1 + 3x * -1) + 3x * (1 + 3x)) = 1
((-1 + -3x) + 3x * (1 + 3x)) = 1
(-1 + -3x + (1 * 3x + 3x * 3x)) = 1
(-1 + -3x + (3x + 9x2)) = 1

Combine like terms: -3x + 3x = 0
(-1 + 0 + 9x2) = 1
(-1 + 9x2) = 1

Solving
-1 + 9x2 = 1

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 + 9x2 = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 9x2 = 1 + 1
9x2 = 1 + 1

Combine like terms: 1 + 1 = 2
9x2 = 2

Divide each side by '9'.
x2 = 0.2222222222

Simplifying
x2 = 0.2222222222

Take the square root of each side:
x = {-0.471404521, 0.471404521}