5s^2+19s+12=

Solution for 5s^2+19s+12= equation:

Simplifying
5s2 + 19s + 12 = 0

Reorder the terms:
12 + 19s + 5s2 = 0

Solving
12 + 19s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + s)(4 + 5s) = 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 '(4 + 5s)' equal to zero and attempt to solve:

Simplifying
4 + 5s = 0

Solving
4 + 5s = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5s = 0 + -4
5s = 0 + -4

Combine like terms: 0 + -4 = -4
5s = -4

Divide each side by '5'.
s = -0.8

Simplifying
s = -0.8
Solution
s = {-3, -0.8}