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Simplifying 10s2 + 37s + -36 = 0 Reorder the terms: -36 + 37s + 10s2 = 0 Solving -36 + 37s + 10s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -2s)(4 + -5s) = 0Subproblem 1
Set the factor '(-9 + -2s)' equal to zero and attempt to solve: Simplifying -9 + -2s = 0 Solving -9 + -2s = 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 + -2s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2s = 0 + 9 -2s = 0 + 9 Combine like terms: 0 + 9 = 9 -2s = 9 Divide each side by '-2'. s = -4.5 Simplifying s = -4.5Subproblem 2
Set the factor '(4 + -5s)' equal to zero and attempt to solve: Simplifying 4 + -5s = 0 Solving 4 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5s = 0 + -4 -5s = 0 + -4 Combine like terms: 0 + -4 = -4 -5s = -4 Divide each side by '-5'. s = 0.8 Simplifying s = 0.8Solution
s = {-4.5, 0.8}
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