2x^2-13-1=0

Solution for 2x^2-13-1=0 equation:

Simplifying
2x2 + -13 + -1 = 0

Reorder the terms:
-13 + -1 + 2x2 = 0

Combine like terms: -13 + -1 = -14
-14 + 2x2 = 0

Solving
-14 + 2x2 = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 2x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 2x2 = 0 + 14
2x2 = 0 + 14

Combine like terms: 0 + 14 = 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}