10s^2+27s+18=0

Solution for 10s^2+27s+18=0 equation:

Simplifying
10s2 + 27s + 18 = 0

Reorder the terms:
18 + 27s + 10s2 = 0

Solving
18 + 27s + 10s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + 2s)(6 + 5s) = 0

Subproblem 1
Set the factor '(3 + 2s)' equal to zero and attempt to solve:

Simplifying
3 + 2s = 0

Solving
3 + 2s = 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 + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s = 0 + -3
2s = 0 + -3

Combine like terms: 0 + -3 = -3
2s = -3

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Subproblem 2
Set the factor '(6 + 5s)' equal to zero and attempt to solve:

Simplifying
6 + 5s = 0

Solving
6 + 5s = 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 + 5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5s = 0 + -6
5s = 0 + -6

Combine like terms: 0 + -6 = -6
5s = -6

Divide each side by '5'.
s = -1.2

Simplifying
s = -1.2
Solution
s = {-1.5, -1.2}