3(x^2-1)=24

Solution for 3(x^2-1)=24 equation:

Simplifying
3(x2 + -1) = 24

Reorder the terms:
3(-1 + x2) = 24
(-1 * 3 + x2 * 3) = 24
(-3 + 3x2) = 24

Solving
-3 + 3x2 = 24

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 + 3x2 = 24 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 = 24 + 3
3x2 = 24 + 3

Combine like terms: 24 + 3 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}