16s^3-44s^2+11s=-19s

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Solution for 16s^3-44s^2+11s=-19s equation:


Simplifying
16s3 + -44s2 + 11s = -19s

Reorder the terms:
11s + -44s2 + 16s3 = -19s

Solving
11s + -44s2 + 16s3 = -19s

Solving for variable 's'.

Reorder the terms:
11s + 19s + -44s2 + 16s3 = -19s + 19s

Combine like terms: 11s + 19s = 30s
30s + -44s2 + 16s3 = -19s + 19s

Combine like terms: -19s + 19s = 0
30s + -44s2 + 16s3 = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(15 + -22s + 8s2) = 0

Factor a trinomial.
2s((5 + -4s)(3 + -2s)) = 0

Ignore the factor 2.

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 '(5 + -4s)' equal to zero and attempt to solve: Simplifying 5 + -4s = 0 Solving 5 + -4s = 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 + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4s = 0 + -5 -4s = 0 + -5 Combine like terms: 0 + -5 = -5 -4s = -5 Divide each side by '-4'. s = 1.25 Simplifying s = 1.25

Subproblem 3

Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 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 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5

Solution

s = {0, 1.25, 1.5}

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