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Simplifying 5s2 = 11s + 12 Reorder the terms: 5s2 = 12 + 11s Solving 5s2 = 12 + 11s Solving for variable 's'. Reorder the terms: -12 + -11s + 5s2 = 12 + 11s + -12 + -11s Reorder the terms: -12 + -11s + 5s2 = 12 + -12 + 11s + -11s Combine like terms: 12 + -12 = 0 -12 + -11s + 5s2 = 0 + 11s + -11s -12 + -11s + 5s2 = 11s + -11s Combine like terms: 11s + -11s = 0 -12 + -11s + 5s2 = 0 Factor a trinomial. (-4 + -5s)(3 + -1s) = 0Subproblem 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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