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Simplifying 5s2 = 31s + 28 Reorder the terms: 5s2 = 28 + 31s Solving 5s2 = 28 + 31s Solving for variable 's'. Reorder the terms: -28 + -31s + 5s2 = 28 + 31s + -28 + -31s Reorder the terms: -28 + -31s + 5s2 = 28 + -28 + 31s + -31s Combine like terms: 28 + -28 = 0 -28 + -31s + 5s2 = 0 + 31s + -31s -28 + -31s + 5s2 = 31s + -31s Combine like terms: 31s + -31s = 0 -28 + -31s + 5s2 = 0 Factor a trinomial. (-4 + -5s)(7 + -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 '(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 = {-0.8, 7}
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