s(2s+5)+6(2s+5)=

Solution for s(2s+5)+6(2s+5)= equation:

Simplifying
s(2s + 5) + 6(2s + 5) = 0

Reorder the terms:
s(5 + 2s) + 6(2s + 5) = 0
(5 * s + 2s * s) + 6(2s + 5) = 0
(5s + 2s2) + 6(2s + 5) = 0

Reorder the terms:
5s + 2s2 + 6(5 + 2s) = 0
5s + 2s2 + (5 * 6 + 2s * 6) = 0
5s + 2s2 + (30 + 12s) = 0

Reorder the terms:
30 + 5s + 12s + 2s2 = 0

Combine like terms: 5s + 12s = 17s
30 + 17s + 2s2 = 0

Solving
30 + 17s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(5 + 2s) = 0

Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

Add '-6' to each side of the equation.
6 + -6 + s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + s = 0 + -6
s = 0 + -6

Combine like terms: 0 + -6 = -6
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(5 + 2s)' equal to zero and attempt to solve:

Simplifying
5 + 2s = 0

Solving
5 + 2s = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2s = 0 + -5
2s = 0 + -5

Combine like terms: 0 + -5 = -5
2s = -5

Divide each side by '2'.
s = -2.5

Simplifying
s = -2.5
Solution
s = {-6, -2.5}