2(x^2)-12=24

Solution for 2(x^2)-12=24 equation:

Simplifying
2(x2) + -12 = 24

Reorder the terms:
-12 + 2x2 = 24

Solving
-12 + 2x2 = 24

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x2 = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 2x2 = 24 + 12
2x2 = 24 + 12

Combine like terms: 24 + 12 = 36
2x2 = 36

Divide each side by '2'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}