3s^2+16s+5=0

Solution for 3s^2+16s+5=0 equation:

Simplifying
3s2 + 16s + 5 = 0

Reorder the terms:
5 + 16s + 3s2 = 0

Solving
5 + 16s + 3s2 = 0

Solving for variable 's'.

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

Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

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

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

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

Simplifying
s = -5
Subproblem 2
Set the factor '(1 + 3s)' equal to zero and attempt to solve:

Simplifying
1 + 3s = 0

Solving
1 + 3s = 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 + 3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3s = 0 + -1
3s = 0 + -1

Combine like terms: 0 + -1 = -1
3s = -1

Divide each side by '3'.
s = -0.3333333333

Simplifying
s = -0.3333333333
Solution
s = {-5, -0.3333333333}