(2s+11)(s+1)=-7

Solution for (2s+11)(s+1)=-7 equation:

Simplifying
(2s + 11)(s + 1) = -7

Reorder the terms:
(11 + 2s)(s + 1) = -7

Reorder the terms:
(11 + 2s)(1 + s) = -7

Multiply (11 + 2s) * (1 + s)
(11(1 + s) + 2s * (1 + s)) = -7
((1 * 11 + s * 11) + 2s * (1 + s)) = -7
((11 + 11s) + 2s * (1 + s)) = -7
(11 + 11s + (1 * 2s + s * 2s)) = -7
(11 + 11s + (2s + 2s2)) = -7

Combine like terms: 11s + 2s = 13s
(11 + 13s + 2s2) = -7

Solving
11 + 13s + 2s2 = -7

Solving for variable 's'.

Reorder the terms:
11 + 7 + 13s + 2s2 = -7 + 7

Combine like terms: 11 + 7 = 18
18 + 13s + 2s2 = -7 + 7

Combine like terms: -7 + 7 = 0
18 + 13s + 2s2 = 0

Factor a trinomial.
(9 + 2s)(2 + s) = 0

Subproblem 1
Set the factor '(9 + 2s)' equal to zero and attempt to solve:

Simplifying
9 + 2s = 0

Solving
9 + 2s = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2s = 0 + -9
2s = 0 + -9

Combine like terms: 0 + -9 = -9
2s = -9

Divide each side by '2'.
s = -4.5

Simplifying
s = -4.5
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 = {-4.5, -2}