(3s+19)(s+1)=-20

Solution for (3s+19)(s+1)=-20 equation:

Simplifying
(3s + 19)(s + 1) = -20

Reorder the terms:
(19 + 3s)(s + 1) = -20

Reorder the terms:
(19 + 3s)(1 + s) = -20

Multiply (19 + 3s) * (1 + s)
(19(1 + s) + 3s * (1 + s)) = -20
((1 * 19 + s * 19) + 3s * (1 + s)) = -20
((19 + 19s) + 3s * (1 + s)) = -20
(19 + 19s + (1 * 3s + s * 3s)) = -20
(19 + 19s + (3s + 3s2)) = -20

Combine like terms: 19s + 3s = 22s
(19 + 22s + 3s2) = -20

Solving
19 + 22s + 3s2 = -20

Solving for variable 's'.

Reorder the terms:
19 + 20 + 22s + 3s2 = -20 + 20

Combine like terms: 19 + 20 = 39
39 + 22s + 3s2 = -20 + 20

Combine like terms: -20 + 20 = 0
39 + 22s + 3s2 = 0

Factor a trinomial.
(13 + 3s)(3 + s) = 0

Subproblem 1
Set the factor '(13 + 3s)' equal to zero and attempt to solve:

Simplifying
13 + 3s = 0

Solving
13 + 3s = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3s = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3s = 0 + -13
3s = 0 + -13

Combine like terms: 0 + -13 = -13
3s = -13

Divide each side by '3'.
s = -4.333333333

Simplifying
s = -4.333333333
Subproblem 2
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
Solution
s = {-4.333333333, -3}