(9s+5)(s+3)=0

Solution for (9s+5)(s+3)=0 equation:

Simplifying
(9s + 5)(s + 3) = 0

Reorder the terms:
(5 + 9s)(s + 3) = 0

Reorder the terms:
(5 + 9s)(3 + s) = 0

Multiply (5 + 9s) * (3 + s)
(5(3 + s) + 9s * (3 + s)) = 0
((3 * 5 + s * 5) + 9s * (3 + s)) = 0
((15 + 5s) + 9s * (3 + s)) = 0
(15 + 5s + (3 * 9s + s * 9s)) = 0
(15 + 5s + (27s + 9s2)) = 0

Combine like terms: 5s + 27s = 32s
(15 + 32s + 9s2) = 0

Solving
15 + 32s + 9s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + s)(5 + 9s) = 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 '(5 + 9s)' equal to zero and attempt to solve:

Simplifying
5 + 9s = 0

Solving
5 + 9s = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9s = 0 + -5

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

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

Divide each side by '9'.
s = -0.5555555556

Simplifying
s = -0.5555555556
Solution
s = {-3, -0.5555555556}