2s^2+21s+54=0

Solution for 2s^2+21s+54=0 equation:

Simplifying
2s2 + 21s + 54 = 0

Reorder the terms:
54 + 21s + 2s2 = 0

Solving
54 + 21s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(6 + s)(9 + 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 '(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
Solution
s = {-6, -4.5}