(2x^2-1)-24=0

Solution for (2x^2-1)-24=0 equation:

Simplifying
(2x2 + -1) + -24 = 0

Reorder the terms:
(-1 + 2x2) + -24 = 0

Remove parenthesis around (-1 + 2x2)
-1 + 2x2 + -24 = 0

Reorder the terms:
-1 + -24 + 2x2 = 0

Combine like terms: -1 + -24 = -25
-25 + 2x2 = 0

Solving
-25 + 2x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 2x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x2 = 0 + 25
2x2 = 0 + 25

Combine like terms: 0 + 25 = 25
2x2 = 25

Divide each side by '2'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}