5s^3+6s^2=0

Solution for 5s^3+6s^2=0 equation:

Simplifying
5s3 + 6s2 = 0

Reorder the terms:
6s2 + 5s3 = 0

Solving
6s2 + 5s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's2'.
s2(6 + 5s) = 0

Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Simplifying
s2 = 0

Take the square root of each side:
s = {0}
Subproblem 2
Set the factor '(6 + 5s)' equal to zero and attempt to solve:

Simplifying
6 + 5s = 0

Solving
6 + 5s = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5s = 0 + -6
5s = 0 + -6

Combine like terms: 0 + -6 = -6
5s = -6

Divide each side by '5'.
s = -1.2

Simplifying
s = -1.2
Solution
s = {0, -1.2}