2s^3+15s^2=3s^2

Solution for 2s^3+15s^2=3s^2 equation:

Simplifying
2s3 + 15s2 = 3s2

Reorder the terms:
15s2 + 2s3 = 3s2

Solving
15s2 + 2s3 = 3s2

Solving for variable 's'.

Reorder the terms:
15s2 + -3s2 + 2s3 = 3s2 + -3s2

Combine like terms: 15s2 + -3s2 = 12s2
12s2 + 2s3 = 3s2 + -3s2

Combine like terms: 3s2 + -3s2 = 0
12s2 + 2s3 = 0

Factor out the Greatest Common Factor (GCF), '2s2'.
2s2(6 + 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 '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 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 + s = 0 + -6

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

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

Simplifying
s = -6
Solution
s = {0, -6}