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Simplifying -2s2 + 30s + -112 = 0 Reorder the terms: -112 + 30s + -2s2 = 0 Solving -112 + 30s + -2s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-56 + 15s + -1s2) = 0 Factor a trinomial. 2((-8 + s)(7 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + s)' equal to zero and attempt to solve: Simplifying -8 + s = 0 Solving -8 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + s = 0 + 8 s = 0 + 8 Combine like terms: 0 + 8 = 8 s = 8 Simplifying s = 8Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {8, 7}
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