2s(s+6)=0

Solution for 2s(s+6)=0 equation:

Simplifying
2s(s + 6) = 0

Reorder the terms:
2s(6 + s) = 0
(6 * 2s + s * 2s) = 0
(12s + 2s2) = 0

Solving
12s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s'.
2s(6 + s) = 0

Ignore the factor 2.
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 '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

Add '-6' to each side of the equation.
6 + -6 + s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + s = 0 + -6
s = 0 + -6

Combine like terms: 0 + -6 = -6
s = -6

Simplifying
s = -6
Solution
s = {0, -6}