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Simplifying 18s2 = 50s Solving 18s2 = 50s Solving for variable 's'. Reorder the terms: -50s + 18s2 = 50s + -50s Combine like terms: 50s + -50s = 0 -50s + 18s2 = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-25 + 9s) = 0 Ignore the factor 2.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 '(-25 + 9s)' equal to zero and attempt to solve: Simplifying -25 + 9s = 0 Solving -25 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9s = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9s = 0 + 25 9s = 0 + 25 Combine like terms: 0 + 25 = 25 9s = 25 Divide each side by '9'. s = 2.777777778 Simplifying s = 2.777777778Solution
s = {0, 2.777777778}
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