2x^2-13=16

Solution for 2x^2-13=16 equation:

Simplifying
2x2 + -13 = 16

Reorder the terms:
-13 + 2x2 = 16

Solving
-13 + 2x2 = 16

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x2 = 16 + 13

Combine like terms: -13 + 13 = 0
0 + 2x2 = 16 + 13
2x2 = 16 + 13

Combine like terms: 16 + 13 = 29
2x2 = 29

Divide each side by '2'.
x2 = 14.5

Simplifying
x2 = 14.5

Take the square root of each side:
x = {-3.807886553, 3.807886553}