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Simplifying 39s2 + -92s + 45 = 0 Reorder the terms: 45 + -92s + 39s2 = 0 Solving 45 + -92s + 39s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + -13s)(5 + -3s) = 0Subproblem 1
Set the factor '(9 + -13s)' equal to zero and attempt to solve: Simplifying 9 + -13s = 0 Solving 9 + -13s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -13s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13s = 0 + -9 -13s = 0 + -9 Combine like terms: 0 + -9 = -9 -13s = -9 Divide each side by '-13'. s = 0.6923076923 Simplifying s = 0.6923076923Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {0.6923076923, 1.666666667}
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