3s(s+2)=9

Solution for 3s(s+2)=9 equation:

Simplifying
3s(s + 2) = 9

Reorder the terms:
3s(2 + s) = 9
(2 * 3s + s * 3s) = 9
(6s + 3s2) = 9

Solving
6s + 3s2 = 9

Solving for variable 's'.

Reorder the terms:
-9 + 6s + 3s2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 6s + 3s2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 2s + s2) = 0

Factor a trinomial.
3((-3 + -1s)(1 + -1s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve:

Simplifying
-3 + -1s = 0

Solving
-3 + -1s = 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 + -1s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1s = 0 + 3
-1s = 0 + 3

Combine like terms: 0 + 3 = 3
-1s = 3

Divide each side by '-1'.
s = -3

Simplifying
s = -3
Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve:

Simplifying
1 + -1s = 0

Solving
1 + -1s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1s = 0 + -1
-1s = 0 + -1

Combine like terms: 0 + -1 = -1
-1s = -1

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Solution
s = {-3, 1}