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Simplifying 8s2 + -22s + 5 = 0 Reorder the terms: 5 + -22s + 8s2 = 0 Solving 5 + -22s + 8s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -4s)(5 + -2s) = 0Subproblem 1
Set the factor '(1 + -4s)' equal to zero and attempt to solve: Simplifying 1 + -4s = 0 Solving 1 + -4s = 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 + -4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4s = 0 + -1 -4s = 0 + -1 Combine like terms: 0 + -1 = -1 -4s = -1 Divide each side by '-4'. s = 0.25 Simplifying s = 0.25Subproblem 2
Set the factor '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5Solution
s = {0.25, 2.5}
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