3(x^2-1)=48

Solution for 3(x^2-1)=48 equation:

Simplifying
3(x2 + -1) = 48

Reorder the terms:
3(-1 + x2) = 48
(-1 * 3 + x2 * 3) = 48
(-3 + 3x2) = 48

Solving
-3 + 3x2 = 48

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 = 48 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 = 48 + 3
3x2 = 48 + 3

Combine like terms: 48 + 3 = 51
3x2 = 51

Divide each side by '3'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}