15s^3+35s^2+18s=-2s

Solution for 15s^3+35s^2+18s=-2s equation:

Simplifying
15s3 + 35s2 + 18s = -2s

Reorder the terms:
18s + 35s2 + 15s3 = -2s

Solving
18s + 35s2 + 15s3 = -2s

Solving for variable 's'.

Reorder the terms:
18s + 2s + 35s2 + 15s3 = -2s + 2s

Combine like terms: 18s + 2s = 20s
20s + 35s2 + 15s3 = -2s + 2s

Combine like terms: -2s + 2s = 0
20s + 35s2 + 15s3 = 0

Factor out the Greatest Common Factor (GCF), '5s'.
5s(4 + 7s + 3s2) = 0

Factor a trinomial.
5s((4 + 3s)(1 + s)) = 0

Ignore the factor 5.
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 '(4 + 3s)' equal to zero and attempt to solve:

Simplifying
4 + 3s = 0

Solving
4 + 3s = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3s = 0 + -4
3s = 0 + -4

Combine like terms: 0 + -4 = -4
3s = -4

Divide each side by '3'.
s = -1.333333333

Simplifying
s = -1.333333333
Subproblem 3
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

Add '-1' to each side of the equation.
1 + -1 + s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s = 0 + -1
s = 0 + -1

Combine like terms: 0 + -1 = -1
s = -1

Simplifying
s = -1
Solution
s = {0, -1.333333333, -1}