0=s(s+2)

Solution for 0=s(s+2) equation:

Simplifying
0 = s(s + 2)

Reorder the terms:
0 = s(2 + s)
0 = (2 * s + s * s)
0 = (2s + s2)

Solving
0 = 2s + s2

Solving for variable 's'.
Remove the zero:
-2s + -1s2 = 2s + s2 + -2s + -1s2

Reorder the terms:
-2s + -1s2 = 2s + -2s + s2 + -1s2

Combine like terms: 2s + -2s = 0
-2s + -1s2 = 0 + s2 + -1s2
-2s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-2s + -1s2 = 0

Factor out the Greatest Common Factor (GCF), '-1s'.
-1s(2 + 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 '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s = 0 + -2
s = 0 + -2

Combine like terms: 0 + -2 = -2
s = -2

Simplifying
s = -2
Solution
s = {0, -2}