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Simplifying 24s3 + -100s2 + 16s = 0 Reorder the terms: 16s + -100s2 + 24s3 = 0 Solving 16s + -100s2 + 24s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(4 + -25s + 6s2) = 0 Factor a trinomial. 4s((1 + -6s)(4 + -1s)) = 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 '(1 + -6s)' equal to zero and attempt to solve: Simplifying 1 + -6s = 0 Solving 1 + -6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6s = 0 + -1 -6s = 0 + -1 Combine like terms: 0 + -1 = -1 -6s = -1 Divide each side by '-6'. s = 0.1666666667 Simplifying s = 0.1666666667Subproblem 3
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 = 4Solution
s = {0, 0.1666666667, 4}
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