6=6x^2-2

Solution for 6=6x^2-2 equation:

Simplifying
6 = 6x2 + -2

Reorder the terms:
6 = -2 + 6x2

Solving
6 = -2 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
6 + -6x2 = -2 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
6 + -6x2 = -2 + 0
6 + -6x2 = -2

Add '-6' to each side of the equation.
6 + -6 + -6x2 = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -6x2 = -2 + -6
-6x2 = -2 + -6

Combine like terms: -2 + -6 = -8
-6x2 = -8

Divide each side by '-6'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}