2s^2+3s=0

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

Simplifying
2s2 + 3s = 0

Reorder the terms:
3s + 2s2 = 0

Solving
3s + 2s2 = 0

Solving for variable 's'.

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

Simplifying
3 + 2s = 0

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

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

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

Divide each side by '2'.
s = -1.5

Simplifying
s = -1.5
Solution
s = {0, -1.5}