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Simplifying 0 = 4s2 + -44s + 112 Reorder the terms: 0 = 112 + -44s + 4s2 Solving 0 = 112 + -44s + 4s2 Solving for variable 's'. Combine like terms: 0 + -112 = -112 -112 + 44s + -4s2 = 112 + -44s + 4s2 + -112 + 44s + -4s2 Reorder the terms: -112 + 44s + -4s2 = 112 + -112 + -44s + 44s + 4s2 + -4s2 Combine like terms: 112 + -112 = 0 -112 + 44s + -4s2 = 0 + -44s + 44s + 4s2 + -4s2 -112 + 44s + -4s2 = -44s + 44s + 4s2 + -4s2 Combine like terms: -44s + 44s = 0 -112 + 44s + -4s2 = 0 + 4s2 + -4s2 -112 + 44s + -4s2 = 4s2 + -4s2 Combine like terms: 4s2 + -4s2 = 0 -112 + 44s + -4s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-28 + 11s + -1s2) = 0 Factor a trinomial. 4((-7 + s)(4 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + s)' equal to zero and attempt to solve: Simplifying -7 + s = 0 Solving -7 + s = 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 + s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + s = 0 + 7 s = 0 + 7 Combine like terms: 0 + 7 = 7 s = 7 Simplifying s = 7Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {7, 4}
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