5k^2+6=31

Solution for 5k^2+6=31 equation:

Simplifying
5k2 + 6 = 31

Reorder the terms:
6 + 5k2 = 31

Solving
6 + 5k2 = 31

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 5k2 = 31 + -6

Combine like terms: 6 + -6 = 0
0 + 5k2 = 31 + -6
5k2 = 31 + -6

Combine like terms: 31 + -6 = 25
5k2 = 25

Divide each side by '5'.
k2 = 5

Simplifying
k2 = 5

Take the square root of each side:
k = {-2.236067978, 2.236067978}