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Simplifying 60s2 + -85s + -35 = 0 Reorder the terms: -35 + -85s + 60s2 = 0 Solving -35 + -85s + 60s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-7 + -17s + 12s2) = 0 Factor a trinomial. 5((-1 + -3s)(7 + -4s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -3s)' equal to zero and attempt to solve: Simplifying -1 + -3s = 0 Solving -1 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3s = 0 + 1 -3s = 0 + 1 Combine like terms: 0 + 1 = 1 -3s = 1 Divide each side by '-3'. s = -0.3333333333 Simplifying s = -0.3333333333Subproblem 2
Set the factor '(7 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Solution
s = {-0.3333333333, 1.75}
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