3s^2+20s+12=0

Solution for 3s^2+20s+12=0 equation:

Simplifying
3s2 + 20s + 12 = 0

Reorder the terms:
12 + 20s + 3s2 = 0

Solving
12 + 20s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(2 + 3s) = 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 '(2 + 3s)' equal to zero and attempt to solve:

Simplifying
2 + 3s = 0

Solving
2 + 3s = 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 + 3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3s = 0 + -2
3s = 0 + -2

Combine like terms: 0 + -2 = -2
3s = -2

Divide each side by '3'.
s = -0.6666666667

Simplifying
s = -0.6666666667
Solution
s = {-6, -0.6666666667}