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Simplifying 20s2 = 48 + 44s Solving 20s2 = 48 + 44s Solving for variable 's'. Reorder the terms: -48 + -44s + 20s2 = 48 + 44s + -48 + -44s Reorder the terms: -48 + -44s + 20s2 = 48 + -48 + 44s + -44s Combine like terms: 48 + -48 = 0 -48 + -44s + 20s2 = 0 + 44s + -44s -48 + -44s + 20s2 = 44s + -44s Combine like terms: 44s + -44s = 0 -48 + -44s + 20s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -11s + 5s2) = 0 Factor a trinomial. 4((-4 + -5s)(3 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + -5s)' equal to zero and attempt to solve: Simplifying -4 + -5s = 0 Solving -4 + -5s = 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 + -5s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5s = 0 + 4 -5s = 0 + 4 Combine like terms: 0 + 4 = 4 -5s = 4 Divide each side by '-5'. s = -0.8 Simplifying s = -0.8Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.8, 3}
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