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Simplifying 14s2 + 39s + 10 = 0 Reorder the terms: 10 + 39s + 14s2 = 0 Solving 10 + 39s + 14s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + 2s)(2 + 7s) = 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 '(2 + 7s)' equal to zero and attempt to solve: Simplifying 2 + 7s = 0 Solving 2 + 7s = 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 + 7s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7s = 0 + -2 7s = 0 + -2 Combine like terms: 0 + -2 = -2 7s = -2 Divide each side by '7'. s = -0.2857142857 Simplifying s = -0.2857142857Solution
s = {-2.5, -0.2857142857}
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