36s^3-48s^2+34s=19s

Solution for 36s^3-48s^2+34s=19s equation:

Simplifying
36s3 + -48s2 + 34s = 19s

Reorder the terms:
34s + -48s2 + 36s3 = 19s

Solving
34s + -48s2 + 36s3 = 19s

Solving for variable 's'.

Reorder the terms:
34s + -19s + -48s2 + 36s3 = 19s + -19s

Combine like terms: 34s + -19s = 15s
15s + -48s2 + 36s3 = 19s + -19s

Combine like terms: 19s + -19s = 0
15s + -48s2 + 36s3 = 0

Factor out the Greatest Common Factor (GCF), '3s'.
3s(5 + -16s + 12s2) = 0

Factor a trinomial.
3s((1 + -2s)(5 + -6s)) = 0

Ignore the factor 3.
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 '(5 + -6s)' equal to zero and attempt to solve:

Simplifying
5 + -6s = 0

Solving
5 + -6s = 0

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

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

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

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

Divide each side by '-6'.
s = 0.8333333333

Simplifying
s = 0.8333333333
Solution
s = {0, 0.5, 0.8333333333}