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Simplifying 30s3 + 55s2 + -50s = 0 Reorder the terms: -50s + 55s2 + 30s3 = 0 Solving -50s + 55s2 + 30s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(-10 + 11s + 6s2) = 0 Factor a trinomial. 5s((-5 + -2s)(2 + -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 = 0Subproblem 2
Set the factor '(-5 + -2s)' equal to zero and attempt to solve: Simplifying -5 + -2s = 0 Solving -5 + -2s = 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 + -2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2s = 0 + 5 -2s = 0 + 5 Combine like terms: 0 + 5 = 5 -2s = 5 Divide each side by '-2'. s = -2.5 Simplifying s = -2.5Subproblem 3
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Solution
s = {0, -2.5, 0.6666666667}
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