5s(8s+3)=0

Solution for 5s(8s+3)=0 equation:

Simplifying
5s(8s + 3) = 0

Reorder the terms:
5s(3 + 8s) = 0
(3 * 5s + 8s * 5s) = 0
(15s + 40s2) = 0

Solving
15s + 40s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(3 + 8s) = 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 '(3 + 8s)' equal to zero and attempt to solve:

Simplifying
3 + 8s = 0

Solving
3 + 8s = 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 + 8s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8s = 0 + -3
8s = 0 + -3

Combine like terms: 0 + -3 = -3
8s = -3

Divide each side by '8'.
s = -0.375

Simplifying
s = -0.375
Solution
s = {0, -0.375}