30s^3+55s^2-175s=

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Solution for 30s^3+55s^2-175s= equation:


Simplifying
30s3 + 55s2 + -175s = 0

Reorder the terms:
-175s + 55s2 + 30s3 = 0

Solving
-175s + 55s2 + 30s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(-35 + 11s + 6s2) = 0

Factor a trinomial.
5s((-7 + -2s)(5 + -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 '(-7 + -2s)' equal to zero and attempt to solve: Simplifying -7 + -2s = 0 Solving -7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2s = 0 + 7 -2s = 0 + 7 Combine like terms: 0 + 7 = 7 -2s = 7 Divide each side by '-2'. s = -3.5 Simplifying s = -3.5

Subproblem 3

Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667

Solution

s = {0, -3.5, 1.666666667}

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