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Simplifying 15s2 + 23s + -28 = 0 Reorder the terms: -28 + 23s + 15s2 = 0 Solving -28 + 23s + 15s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -3s)(4 + -5s) = 0Subproblem 1
Set the factor '(-7 + -3s)' equal to zero and attempt to solve: Simplifying -7 + -3s = 0 Solving -7 + -3s = 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 + -3s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3s = 0 + 7 -3s = 0 + 7 Combine like terms: 0 + 7 = 7 -3s = 7 Divide each side by '-3'. s = -2.333333333 Simplifying s = -2.333333333Subproblem 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 = {-2.333333333, 0.8}
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