(2s+9)(s+1)=-5

Solution for (2s+9)(s+1)=-5 equation:

Simplifying
(2s + 9)(s + 1) = -5

Reorder the terms:
(9 + 2s)(s + 1) = -5

Reorder the terms:
(9 + 2s)(1 + s) = -5

Multiply (9 + 2s) * (1 + s)
(9(1 + s) + 2s * (1 + s)) = -5
((1 * 9 + s * 9) + 2s * (1 + s)) = -5
((9 + 9s) + 2s * (1 + s)) = -5
(9 + 9s + (1 * 2s + s * 2s)) = -5
(9 + 9s + (2s + 2s2)) = -5

Combine like terms: 9s + 2s = 11s
(9 + 11s + 2s2) = -5

Solving
9 + 11s + 2s2 = -5

Solving for variable 's'.

Reorder the terms:
9 + 5 + 11s + 2s2 = -5 + 5

Combine like terms: 9 + 5 = 14
14 + 11s + 2s2 = -5 + 5

Combine like terms: -5 + 5 = 0
14 + 11s + 2s2 = 0

Factor a trinomial.
(7 + 2s)(2 + s) = 0

Subproblem 1
Set the factor '(7 + 2s)' equal to zero and attempt to solve:

Simplifying
7 + 2s = 0

Solving
7 + 2s = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2s = 0 + -7
2s = 0 + -7

Combine like terms: 0 + -7 = -7
2s = -7

Divide each side by '2'.
s = -3.5

Simplifying
s = -3.5
Subproblem 2
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
Solution
s = {-3.5, -2}