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Simplifying 15s2 + 25s2 + -60s = 0 Reorder the terms: -60s + 15s2 + 25s2 = 0 Combine like terms: 15s2 + 25s2 = 40s2 -60s + 40s2 = 0 Solving -60s + 40s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '20s'. 20s(-3 + 2s) = 0 Ignore the factor 20.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 '(-3 + 2s)' equal to zero and attempt to solve: Simplifying -3 + 2s = 0 Solving -3 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2s = 0 + 3 2s = 0 + 3 Combine like terms: 0 + 3 = 3 2s = 3 Divide each side by '2'. s = 1.5 Simplifying s = 1.5Solution
s = {0, 1.5}
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