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Simplifying 6s2 + 23s + 20 = 0 Reorder the terms: 20 + 23s + 6s2 = 0 Solving 20 + 23s + 6s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + 2s)(4 + 3s) = 0Subproblem 1
Set the factor '(5 + 2s)' equal to zero and attempt to solve: Simplifying 5 + 2s = 0 Solving 5 + 2s = 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 + 2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2s = 0 + -5 2s = 0 + -5 Combine like terms: 0 + -5 = -5 2s = -5 Divide each side by '2'. s = -2.5 Simplifying s = -2.5Subproblem 2
Set the factor '(4 + 3s)' equal to zero and attempt to solve: Simplifying 4 + 3s = 0 Solving 4 + 3s = 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 + 3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3s = 0 + -4 3s = 0 + -4 Combine like terms: 0 + -4 = -4 3s = -4 Divide each side by '3'. s = -1.333333333 Simplifying s = -1.333333333Solution
s = {-2.5, -1.333333333}
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