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Simplifying 18s3 + -33s2 + 14s = 0 Reorder the terms: 14s + -33s2 + 18s3 = 0 Solving 14s + -33s2 + 18s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(14 + -33s + 18s2) = 0 Factor a trinomial. s((2 + -3s)(7 + -6s)) = 0Subproblem 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 '(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 = 0.6666666667Subproblem 3
Set the factor '(7 + -6s)' equal to zero and attempt to solve: Simplifying 7 + -6s = 0 Solving 7 + -6s = 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 + -6s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6s = 0 + -7 -6s = 0 + -7 Combine like terms: 0 + -7 = -7 -6s = -7 Divide each side by '-6'. s = 1.166666667 Simplifying s = 1.166666667Solution
s = {0, 0.6666666667, 1.166666667}
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