5s(s+4)=0

Solution for 5s(s+4)=0 equation:

Simplifying
5s(s + 4) = 0

Reorder the terms:
5s(4 + s) = 0
(4 * 5s + s * 5s) = 0
(20s + 5s2) = 0

Solving
20s + 5s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(4 + s) = 0

Ignore the factor 5.
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 '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {0, -4}