2x^2-23=.5

Solution for 2x^2-23=.5 equation:

Simplifying
2x2 + -23 = 0.5

Reorder the terms:
-23 + 2x2 = 0.5

Solving
-23 + 2x2 = 0.5

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 2x2 = 0.5 + 23

Combine like terms: -23 + 23 = 0
0 + 2x2 = 0.5 + 23
2x2 = 0.5 + 23

Combine like terms: 0.5 + 23 = 23.5
2x2 = 23.5

Divide each side by '2'.
x2 = 11.75

Simplifying
x2 = 11.75

Take the square root of each side:
x = {-3.4278273, 3.4278273}