2x^2-24=72

Solution for 2x^2-24=72 equation:

Simplifying
2x2 + -24 = 72

Reorder the terms:
-24 + 2x2 = 72

Solving
-24 + 2x2 = 72

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 2x2 = 72 + 24

Combine like terms: -24 + 24 = 0
0 + 2x2 = 72 + 24
2x2 = 72 + 24

Combine like terms: 72 + 24 = 96
2x2 = 96

Divide each side by '2'.
x2 = 48

Simplifying
x2 = 48

Take the square root of each side:
x = {-6.92820323, 6.92820323}