x(6x)-12+6=0

Solution for x(6x)-12+6=0 equation:

Simplifying
x(6x) + -12 + 6 = 0

Remove parenthesis around (6x)
x * 6x + -12 + 6 = 0

Reorder the terms for easier multiplication:
6x * x + -12 + 6 = 0

Multiply x * x
6x2 + -12 + 6 = 0

Reorder the terms:
-12 + 6 + 6x2 = 0

Combine like terms: -12 + 6 = -6
-6 + 6x2 = 0

Solving
-6 + 6x2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 0 + 6
6x2 = 0 + 6

Combine like terms: 0 + 6 = 6
6x2 = 6

Divide each side by '6'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}