5s^2+24s+27=0

Solution for 5s^2+24s+27=0 equation:

Simplifying
5s2 + 24s + 27 = 0

Reorder the terms:
27 + 24s + 5s2 = 0

Solving
27 + 24s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + s)(9 + 5s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + 5s)' equal to zero and attempt to solve:

Simplifying
9 + 5s = 0

Solving
9 + 5s = 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 + 5s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5s = 0 + -9
5s = 0 + -9

Combine like terms: 0 + -9 = -9
5s = -9

Divide each side by '5'.
s = -1.8

Simplifying
s = -1.8
Solution
s = {-3, -1.8}