15s^3+5s^2-120s=

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Solution for 15s^3+5s^2-120s= equation:


Simplifying
15s3 + 5s2 + -120s = 0

Reorder the terms:
-120s + 5s2 + 15s3 = 0

Solving
-120s + 5s2 + 15s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-24 + s + 3s2) = 0

Factor a trinomial.
5s((-3 + -1s)(8 + -3s)) = 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 '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 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 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3

Subproblem 3

Set the factor '(8 + -3s)' equal to zero and attempt to solve: Simplifying 8 + -3s = 0 Solving 8 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = 0 + -8 -3s = 0 + -8 Combine like terms: 0 + -8 = -8 -3s = -8 Divide each side by '-3'. s = 2.666666667 Simplifying s = 2.666666667

Solution

s = {0, -3, 2.666666667}

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