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Simplifying 5s2 + -13s + 8 = 0 Reorder the terms: 8 + -13s + 5s2 = 0 Solving 8 + -13s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -1s)(8 + -5s) = 0Subproblem 1
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 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 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Subproblem 2
Set the factor '(8 + -5s)' equal to zero and attempt to solve: Simplifying 8 + -5s = 0 Solving 8 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5s = 0 + -8 -5s = 0 + -8 Combine like terms: 0 + -8 = -8 -5s = -8 Divide each side by '-5'. s = 1.6 Simplifying s = 1.6Solution
s = {1, 1.6}
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