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Simplifying 80s2 + 52s2 + -60s = 0 Reorder the terms: -60s + 80s2 + 52s2 = 0 Combine like terms: 80s2 + 52s2 = 132s2 -60s + 132s2 = 0 Solving -60s + 132s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '12s'. 12s(-5 + 11s) = 0 Ignore the factor 12.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 + 11s)' equal to zero and attempt to solve: Simplifying -5 + 11s = 0 Solving -5 + 11s = 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 + 11s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11s = 0 + 5 11s = 0 + 5 Combine like terms: 0 + 5 = 5 11s = 5 Divide each side by '11'. s = 0.4545454545 Simplifying s = 0.4545454545Solution
s = {0, 0.4545454545}
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