2(x^2-3)=48

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

Simplifying
2(x2 + -3) = 48

Reorder the terms:
2(-3 + x2) = 48
(-3 * 2 + x2 * 2) = 48
(-6 + 2x2) = 48

Solving
-6 + 2x2 = 48

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 + 2x2 = 48 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 48 + 6
2x2 = 48 + 6

Combine like terms: 48 + 6 = 54
2x2 = 54

Divide each side by '2'.
x2 = 27

Simplifying
x2 = 27

Take the square root of each side:
x = {-5.196152423, 5.196152423}