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Simplifying 20s2 + 17s + -63 = 0 Reorder the terms: -63 + 17s + 20s2 = 0 Solving -63 + 17s + 20s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -4s)(7 + -5s) = 0Subproblem 1
Set the factor '(-9 + -4s)' equal to zero and attempt to solve: Simplifying -9 + -4s = 0 Solving -9 + -4s = 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 + -4s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4s = 0 + 9 -4s = 0 + 9 Combine like terms: 0 + 9 = 9 -4s = 9 Divide each side by '-4'. s = -2.25 Simplifying s = -2.25Subproblem 2
Set the factor '(7 + -5s)' equal to zero and attempt to solve: Simplifying 7 + -5s = 0 Solving 7 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5s = 0 + -7 -5s = 0 + -7 Combine like terms: 0 + -7 = -7 -5s = -7 Divide each side by '-5'. s = 1.4 Simplifying s = 1.4Solution
s = {-2.25, 1.4}
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