22=6x^2+13

Solution for 22=6x^2+13 equation:

Simplifying
22 = 6x2 + 13

Reorder the terms:
22 = 13 + 6x2

Solving
22 = 13 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
22 + -6x2 = 13 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
22 + -6x2 = 13 + 0
22 + -6x2 = 13

Add '-22' to each side of the equation.
22 + -22 + -6x2 = 13 + -22

Combine like terms: 22 + -22 = 0
0 + -6x2 = 13 + -22
-6x2 = 13 + -22

Combine like terms: 13 + -22 = -9
-6x2 = -9

Divide each side by '-6'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}