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Simplifying 8s2 + -4 + -31s = 0 Reorder the terms: -4 + -31s + 8s2 = 0 Solving -4 + -31s + 8s2 = 0 Solving for variable 's'. Factor a trinomial. (-1 + -8s)(4 + -1s) = 0Subproblem 1
Set the factor '(-1 + -8s)' equal to zero and attempt to solve: Simplifying -1 + -8s = 0 Solving -1 + -8s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8s = 0 + 1 -8s = 0 + 1 Combine like terms: 0 + 1 = 1 -8s = 1 Divide each side by '-8'. s = -0.125 Simplifying s = -0.125Subproblem 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 = {-0.125, 4}
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