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Simplifying 15s2 + -40s = 0 Reorder the terms: -40s + 15s2 = 0 Solving -40s + 15s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(-8 + 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 '(-8 + 3s)' equal to zero and attempt to solve: Simplifying -8 + 3s = 0 Solving -8 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3s = 0 + 8 3s = 0 + 8 Combine like terms: 0 + 8 = 8 3s = 8 Divide each side by '3'. s = 2.666666667 Simplifying s = 2.666666667Solution
s = {0, 2.666666667}
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