5s^2+31s+6=0

Solution for 5s^2+31s+6=0 equation:

Simplifying
5s2 + 31s + 6 = 0

Reorder the terms:
6 + 31s + 5s2 = 0

Solving
6 + 31s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(1 + 5s) = 0

Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

Add '-6' to each side of the equation.
6 + -6 + s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + s = 0 + -6
s = 0 + -6

Combine like terms: 0 + -6 = -6
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(1 + 5s)' equal to zero and attempt to solve:

Simplifying
1 + 5s = 0

Solving
1 + 5s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5s = 0 + -1
5s = 0 + -1

Combine like terms: 0 + -1 = -1
5s = -1

Divide each side by '5'.
s = -0.2

Simplifying
s = -0.2
Solution
s = {-6, -0.2}