2x^2-1=13

Solution for 2x^2-1=13 equation:

Simplifying
2x2 + -1 = 13

Reorder the terms:
-1 + 2x2 = 13

Solving
-1 + 2x2 = 13

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 = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 13 + 1
2x2 = 13 + 1

Combine like terms: 13 + 1 = 14
2x2 = 14

Divide each side by '2'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}