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Simplifying 2s2 + 11s + 9 = -5 Reorder the terms: 9 + 11s + 2s2 = -5 Solving 9 + 11s + 2s2 = -5 Solving for variable 's'. Reorder the terms: 9 + 5 + 11s + 2s2 = -5 + 5 Combine like terms: 9 + 5 = 14 14 + 11s + 2s2 = -5 + 5 Combine like terms: -5 + 5 = 0 14 + 11s + 2s2 = 0 Factor a trinomial. (7 + 2s)(2 + s) = 0Subproblem 1
Set the factor '(7 + 2s)' equal to zero and attempt to solve: Simplifying 7 + 2s = 0 Solving 7 + 2s = 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 + 2s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2s = 0 + -7 2s = 0 + -7 Combine like terms: 0 + -7 = -7 2s = -7 Divide each side by '2'. s = -3.5 Simplifying s = -3.5Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {-3.5, -2}
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