6(x^2-1)=18

Solution for 6(x^2-1)=18 equation:

Simplifying
6(x2 + -1) = 18

Reorder the terms:
6(-1 + x2) = 18
(-1 * 6 + x2 * 6) = 18
(-6 + 6x2) = 18

Solving
-6 + 6x2 = 18

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 = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 6x2 = 18 + 6
6x2 = 18 + 6

Combine like terms: 18 + 6 = 24
6x2 = 24

Divide each side by '6'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}