(2x*x)-24=1

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

Simplifying
(2x * x) + -24 = 1

Multiply x * x
(2x2) + -24 = 1

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

Solving
-24 + (2x2) = 1

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) = 1 + 24

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

Combine like terms: 1 + 24 = 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}