5x^2-2=13

Solution for 5x^2-2=13 equation:

Simplifying
5x2 + -2 = 13

Reorder the terms:
-2 + 5x2 = 13

Solving
-2 + 5x2 = 13

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x2 = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x2 = 13 + 2
5x2 = 13 + 2

Combine like terms: 13 + 2 = 15
5x2 = 15

Divide each side by '5'.
x2 = 3

Simplifying
x2 = 3

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