5x^2-6=13

Solution for 5x^2-6=13 equation:

Simplifying
5x2 + -6 = 13

Reorder the terms:
-6 + 5x2 = 13

Solving
-6 + 5x2 = 13

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x2 = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 5x2 = 13 + 6
5x2 = 13 + 6

Combine like terms: 13 + 6 = 19
5x2 = 19

Divide each side by '5'.
x2 = 3.8

Simplifying
x2 = 3.8

Take the square root of each side:
x = {-1.949358869, 1.949358869}