2s^3+6s^2=0

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

Simplifying
2s3 + 6s2 = 0

Reorder the terms:
6s2 + 2s3 = 0

Solving
6s2 + 2s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2s2'.
2s2(3 + s) = 0

Ignore the factor 2.
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 '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

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

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

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

Simplifying
s = -3
Solution
s = {0, -3}