2x^2-1=22

Solution for 2x^2-1=22 equation:

Simplifying
2x2 + -1 = 22

Reorder the terms:
-1 + 2x2 = 22

Solving
-1 + 2x2 = 22

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x2 = 22 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 22 + 1
2x2 = 22 + 1

Combine like terms: 22 + 1 = 23
2x2 = 23

Divide each side by '2'.
x2 = 11.5

Simplifying
x2 = 11.5

Take the square root of each side:
x = {-3.391164992, 3.391164992}