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Simplifying 8s3 + 18s2 + -56s = 0 Reorder the terms: -56s + 18s2 + 8s3 = 0 Solving -56s + 18s2 + 8s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(-28 + 9s + 4s2) = 0 Factor a trinomial. 2s((-4 + -1s)(7 + -4s)) = 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 = 0Subproblem 2
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 3
Set the factor '(7 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 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 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Solution
s = {0, -4, 1.75}
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