36s^3+6s^2+8s=14s

Solution for 36s^3+6s^2+8s=14s equation:

Simplifying
36s3 + 6s2 + 8s = 14s

Reorder the terms:
8s + 6s2 + 36s3 = 14s

Solving
8s + 6s2 + 36s3 = 14s

Solving for variable 's'.

Reorder the terms:
8s + -14s + 6s2 + 36s3 = 14s + -14s

Combine like terms: 8s + -14s = -6s
-6s + 6s2 + 36s3 = 14s + -14s

Combine like terms: 14s + -14s = 0
-6s + 6s2 + 36s3 = 0

Factor out the Greatest Common Factor (GCF), '6s'.
6s(-1 + s + 6s2) = 0

Factor a trinomial.
6s((-1 + -2s)(1 + -3s)) = 0

Ignore the factor 6.
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 '(-1 + -2s)' equal to zero and attempt to solve:

Simplifying
-1 + -2s = 0

Solving
-1 + -2s = 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 + -2s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2s = 0 + 1
-2s = 0 + 1

Combine like terms: 0 + 1 = 1
-2s = 1

Divide each side by '-2'.
s = -0.5

Simplifying
s = -0.5
Subproblem 3
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {0, -0.5, 0.3333333333}