(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

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 = 0
9x2 = 0

Solving
9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}