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Simplifying 2s2 + 15 = -11s Reorder the terms: 15 + 2s2 = -11s Solving 15 + 2s2 = -11s Solving for variable 's'. Reorder the terms: 15 + 11s + 2s2 = -11s + 11s Combine like terms: -11s + 11s = 0 15 + 11s + 2s2 = 0 Factor a trinomial. (3 + s)(5 + 2s) = 0Subproblem 1
Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Subproblem 2
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 = -2.5Solution
s = {-3, -2.5}
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