3(2x^2-1)=2

Solution for 3(2x^2-1)=2 equation:

Simplifying
3(2x2 + -1) = 2

Reorder the terms:
3(-1 + 2x2) = 2
(-1 * 3 + 2x2 * 3) = 2
(-3 + 6x2) = 2

Solving
-3 + 6x2 = 2

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 6x2 = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 6x2 = 2 + 3
6x2 = 2 + 3

Combine like terms: 2 + 3 = 5
6x2 = 5

Divide each side by '6'.
x2 = 0.8333333333

Simplifying
x2 = 0.8333333333

Take the square root of each side:
x = {-0.912870929, 0.912870929}