3s[s+1]=

Solution for 3s[s+1]= equation:

Simplifying
3s[s + 1] = 0

Reorder the terms:
3s[1 + s] = 0
[1 * 3s + s * 3s] = 0
[3s + 3s2] = 0

Solving
3s + 3s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3s'.
3s(1 + s) = 0

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

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

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

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

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

Simplifying
s = -1
Solution
s = {0, -1}