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Simplifying 15s2 + 14s + -8 = 0 Reorder the terms: -8 + 14s + 15s2 = 0 Solving -8 + 14s + 15s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -3s)(2 + -5s) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(2 + -5s)' equal to zero and attempt to solve: Simplifying 2 + -5s = 0 Solving 2 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5s = 0 + -2 -5s = 0 + -2 Combine like terms: 0 + -2 = -2 -5s = -2 Divide each side by '-5'. s = 0.4 Simplifying s = 0.4Solution
s = {-1.333333333, 0.4}
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