3s^2+9s+6=0

Solution for 3s^2+9s+6=0 equation:

Simplifying
3s2 + 9s + 6 = 0

Reorder the terms:
6 + 9s + 3s2 = 0

Solving
6 + 9s + 3s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 3s + s2) = 0

Factor a trinomial.
3((2 + s)(1 + s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s = 0 + -2
s = 0 + -2

Combine like terms: 0 + -2 = -2
s = -2

Simplifying
s = -2
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 = {-2, -1}