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Simplifying 20s2 + 13s + -15 = 0 Reorder the terms: -15 + 13s + 20s2 = 0 Solving -15 + 13s + 20s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -4s)(3 + -5s) = 0Subproblem 1
Set the factor '(-5 + -4s)' equal to zero and attempt to solve: Simplifying -5 + -4s = 0 Solving -5 + -4s = 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 + -4s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4s = 0 + 5 -4s = 0 + 5 Combine like terms: 0 + 5 = 5 -4s = 5 Divide each side by '-4'. s = -1.25 Simplifying s = -1.25Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve: Simplifying 3 + -5s = 0 Solving 3 + -5s = 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 + -5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5s = 0 + -3 -5s = 0 + -3 Combine like terms: 0 + -3 = -3 -5s = -3 Divide each side by '-5'. s = 0.6 Simplifying s = 0.6Solution
s = {-1.25, 0.6}
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