2x^2-3=13

Solution for 2x^2-3=13 equation:

Simplifying
2x2 + -3 = 13

Reorder the terms:
-3 + 2x2 = 13

Solving
-3 + 2x2 = 13

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 13 + 3
2x2 = 13 + 3

Combine like terms: 13 + 3 = 16
2x2 = 16

Divide each side by '2'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}