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Simplifying 12s3 + 20s2 + -48s = 0 Reorder the terms: -48s + 20s2 + 12s3 = 0 Solving -48s + 20s2 + 12s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(-12 + 5s + 3s2) = 0 Factor a trinomial. 4s((-3 + -1s)(4 + -3s)) = 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 = 0Subproblem 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 = -3Subproblem 3
Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 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 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Solution
s = {0, -3, 1.333333333}
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