2s^2+15s+27=0

Solution for 2s^2+15s+27=0 equation:

Simplifying
2s2 + 15s + 27 = 0

Reorder the terms:
27 + 15s + 2s2 = 0

Solving
27 + 15s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(9 + 2s)(3 + 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 '(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 = {-4.5, -3}