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Simplifying 45s3 + 78s2 + 24s = 0 Reorder the terms: 24s + 78s2 + 45s3 = 0 Solving 24s + 78s2 + 45s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(8 + 26s + 15s2) = 0 Factor a trinomial. 3s((4 + 3s)(2 + 5s)) = 0 Ignore the factor 3.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 + 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 = -1.333333333Subproblem 3
Set the factor '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 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 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Divide each side by '5'. s = -0.4 Simplifying s = -0.4Solution
s = {0, -1.333333333, -0.4}
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