2x^2-1=5

Solution for 2x^2-1=5 equation:

Simplifying
2x2 + -1 = 5

Reorder the terms:
-1 + 2x2 = 5

Solving
-1 + 2x2 = 5

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 = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 5 + 1
2x2 = 5 + 1

Combine like terms: 5 + 1 = 6
2x2 = 6

Divide each side by '2'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}