0=s(s+3)

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

Simplifying
0 = s(s + 3)

Reorder the terms:
0 = s(3 + s)
0 = (3 * s + s * s)
0 = (3s + s2)

Solving
0 = 3s + s2

Solving for variable 's'.
Remove the zero:
-3s + -1s2 = 3s + s2 + -3s + -1s2

Reorder the terms:
-3s + -1s2 = 3s + -3s + s2 + -1s2

Combine like terms: 3s + -3s = 0
-3s + -1s2 = 0 + s2 + -1s2
-3s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-3s + -1s2 = 0

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

Ignore the factor -1.
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 '(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
Solution
s = {0, -3}