2x^2-72=24

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

Simplifying
2x2 + -72 = 24

Reorder the terms:
-72 + 2x2 = 24

Solving
-72 + 2x2 = 24

Solving for variable 'x'.

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

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

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

Combine like terms: 24 + 72 = 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}