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Simplifying 68s + 60 = -16s2 Reorder the terms: 60 + 68s = -16s2 Solving 60 + 68s = -16s2 Solving for variable 's'. Combine like terms: -16s2 + 16s2 = 0 60 + 68s + 16s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(15 + 17s + 4s2) = 0 Factor a trinomial. 4((3 + s)(5 + 4s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 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 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Subproblem 2
Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25Solution
s = {-3, -1.25}
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