80s^3+52s^2-60s=

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Solution for 80s^3+52s^2-60s= equation:


Simplifying
80s3 + 52s2 + -60s = 0

Reorder the terms:
-60s + 52s2 + 80s3 = 0

Solving
-60s + 52s2 + 80s3 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4s'.
4s(-15 + 13s + 20s2) = 0

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

Ignore the factor 4.

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 + -5s)' equal to zero and attempt to solve: Simplifying 3 + -5s = 0 Solving 3 + -5s = 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 + -5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5s = 0 + -3 -5s = 0 + -3 Combine like terms: 0 + -3 = -3 -5s = -3 Divide each side by '-5'. s = 0.6 Simplifying s = 0.6

Solution

s = {0, -1.25, 0.6}

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