4s^2+41s+72=0

Solution for 4s^2+41s+72=0 equation:

Simplifying
4s2 + 41s + 72 = 0

Reorder the terms:
72 + 41s + 4s2 = 0

Solving
72 + 41s + 4s2 = 0

Solving for variable 's'.

Factor a trinomial.
(8 + s)(9 + 4s) = 0

Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve:

Simplifying
8 + s = 0

Solving
8 + s = 0

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

Add '-8' to each side of the equation.
8 + -8 + s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + s = 0 + -8
s = 0 + -8

Combine like terms: 0 + -8 = -8
s = -8

Simplifying
s = -8
Subproblem 2
Set the factor '(9 + 4s)' equal to zero and attempt to solve:

Simplifying
9 + 4s = 0

Solving
9 + 4s = 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 + 4s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4s = 0 + -9
4s = 0 + -9

Combine like terms: 0 + -9 = -9
4s = -9

Divide each side by '4'.
s = -2.25

Simplifying
s = -2.25
Solution
s = {-8, -2.25}