(3s+20)(s+1)=-22

Solution for (3s+20)(s+1)=-22 equation:

Simplifying
(3s + 20)(s + 1) = -22

Reorder the terms:
(20 + 3s)(s + 1) = -22

Reorder the terms:
(20 + 3s)(1 + s) = -22

Multiply (20 + 3s) * (1 + s)
(20(1 + s) + 3s * (1 + s)) = -22
((1 * 20 + s * 20) + 3s * (1 + s)) = -22
((20 + 20s) + 3s * (1 + s)) = -22
(20 + 20s + (1 * 3s + s * 3s)) = -22
(20 + 20s + (3s + 3s2)) = -22

Combine like terms: 20s + 3s = 23s
(20 + 23s + 3s2) = -22

Solving
20 + 23s + 3s2 = -22

Solving for variable 's'.

Reorder the terms:
20 + 22 + 23s + 3s2 = -22 + 22

Combine like terms: 20 + 22 = 42
42 + 23s + 3s2 = -22 + 22

Combine like terms: -22 + 22 = 0
42 + 23s + 3s2 = 0

Factor a trinomial.
(14 + 3s)(3 + s) = 0

Subproblem 1
Set the factor '(14 + 3s)' equal to zero and attempt to solve:

Simplifying
14 + 3s = 0

Solving
14 + 3s = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3s = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3s = 0 + -14
3s = 0 + -14

Combine like terms: 0 + -14 = -14
3s = -14

Divide each side by '3'.
s = -4.666666667

Simplifying
s = -4.666666667
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 = {-4.666666667, -3}