(3s-1)(s+3)=0

Solution for (3s-1)(s+3)=0 equation:

Simplifying
(3s + -1)(s + 3) = 0

Reorder the terms:
(-1 + 3s)(s + 3) = 0

Reorder the terms:
(-1 + 3s)(3 + s) = 0

Multiply (-1 + 3s) * (3 + s)
(-1(3 + s) + 3s * (3 + s)) = 0
((3 * -1 + s * -1) + 3s * (3 + s)) = 0
((-3 + -1s) + 3s * (3 + s)) = 0
(-3 + -1s + (3 * 3s + s * 3s)) = 0
(-3 + -1s + (9s + 3s2)) = 0

Combine like terms: -1s + 9s = 8s
(-3 + 8s + 3s2) = 0

Solving
-3 + 8s + 3s2 = 0

Solving for variable 's'.

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

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 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

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

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

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

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {-3, 0.3333333333}