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Simplifying 20s2 + -51s + 27 = 0 Reorder the terms: 27 + -51s + 20s2 = 0 Solving 27 + -51s + 20s2 = 0 Solving for variable 's'. Factor a trinomial. (3 + -4s)(9 + -5s) = 0Subproblem 1
Set the factor '(3 + -4s)' equal to zero and attempt to solve: Simplifying 3 + -4s = 0 Solving 3 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4s = 0 + -3 -4s = 0 + -3 Combine like terms: 0 + -3 = -3 -4s = -3 Divide each side by '-4'. s = 0.75 Simplifying s = 0.75Subproblem 2
Set the factor '(9 + -5s)' equal to zero and attempt to solve: Simplifying 9 + -5s = 0 Solving 9 + -5s = 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 + -5s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5s = 0 + -9 -5s = 0 + -9 Combine like terms: 0 + -9 = -9 -5s = -9 Divide each side by '-5'. s = 1.8 Simplifying s = 1.8Solution
s = {0.75, 1.8}
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