6s^2+19s+3=0

Solution for 6s^2+19s+3=0 equation:

Simplifying
6s2 + 19s + 3 = 0

Reorder the terms:
3 + 19s + 6s2 = 0

Solving
3 + 19s + 6s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 0

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

Add '-3' to each side of the equation.
3 + -3 + s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + s = 0 + -3
s = 0 + -3

Combine like terms: 0 + -3 = -3
s = -3

Simplifying
s = -3
Subproblem 2
Set the factor '(1 + 6s)' equal to zero and attempt to solve:

Simplifying
1 + 6s = 0

Solving
1 + 6s = 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 + 6s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6s = 0 + -1
6s = 0 + -1

Combine like terms: 0 + -1 = -1
6s = -1

Divide each side by '6'.
s = -0.1666666667

Simplifying
s = -0.1666666667
Solution
s = {-3, -0.1666666667}