8s^2+3s=0

Solution for 8s^2+3s=0 equation:

Simplifying
8s2 + 3s = 0

Reorder the terms:
3s + 8s2 = 0

Solving
3s + 8s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(3 + 8s) = 0

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}