3s^2+2s=0

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

Simplifying
3s2 + 2s = 0

Reorder the terms:
2s + 3s2 = 0

Solving
2s + 3s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(2 + 3s) = 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 '(2 + 3s)' equal to zero and attempt to solve:

Simplifying
2 + 3s = 0

Solving
2 + 3s = 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 + 3s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3s = 0 + -2
3s = 0 + -2

Combine like terms: 0 + -2 = -2
3s = -2

Divide each side by '3'.
s = -0.6666666667

Simplifying
s = -0.6666666667
Solution
s = {0, -0.6666666667}