3s^2+19s+16=0

Solution for 3s^2+19s+16=0 equation:

Simplifying
3s2 + 19s + 16 = 0

Reorder the terms:
16 + 19s + 3s2 = 0

Solving
16 + 19s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(16 + 3s)(1 + s) = 0

Subproblem 1
Set the factor '(16 + 3s)' equal to zero and attempt to solve:

Simplifying
16 + 3s = 0

Solving
16 + 3s = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3s = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3s = 0 + -16
3s = 0 + -16

Combine like terms: 0 + -16 = -16
3s = -16

Divide each side by '3'.
s = -5.333333333

Simplifying
s = -5.333333333
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

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

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

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

Simplifying
s = -1
Solution
s = {-5.333333333, -1}