(6x+1)(6x-1)=0

Solution for (6x+1)(6x-1)=0 equation:

Simplifying
(6x + 1)(6x + -1) = 0

Reorder the terms:
(1 + 6x)(6x + -1) = 0

Reorder the terms:
(1 + 6x)(-1 + 6x) = 0

Multiply (1 + 6x) * (-1 + 6x)
(1(-1 + 6x) + 6x * (-1 + 6x)) = 0
((-1 * 1 + 6x * 1) + 6x * (-1 + 6x)) = 0
((-1 + 6x) + 6x * (-1 + 6x)) = 0
(-1 + 6x + (-1 * 6x + 6x * 6x)) = 0
(-1 + 6x + (-6x + 36x2)) = 0

Combine like terms: 6x + -6x = 0
(-1 + 0 + 36x2) = 0
(-1 + 36x2) = 0

Solving
-1 + 36x2 = 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 + 36x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 36x2 = 0 + 1
36x2 = 0 + 1

Combine like terms: 0 + 1 = 1
36x2 = 1

Divide each side by '36'.
x2 = 0.02777777778

Simplifying
x2 = 0.02777777778

Take the square root of each side:
x = {-0.166666667, 0.166666667}