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Simplifying 6s2 + -15s = 0 Reorder the terms: -15s + 6s2 = 0 Solving -15s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(-5 + 2s) = 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 '(-5 + 2s)' equal to zero and attempt to solve: Simplifying -5 + 2s = 0 Solving -5 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2s = 0 + 5 2s = 0 + 5 Combine like terms: 0 + 5 = 5 2s = 5 Divide each side by '2'. s = 2.5 Simplifying s = 2.5Solution
s = {0, 2.5}
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