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Simplifying 2s2 + 19s + 45 = 0 Reorder the terms: 45 + 19s + 2s2 = 0 Solving 45 + 19s + 2s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + s)(9 + 2s) = 0Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 2
Set the factor '(9 + 2s)' equal to zero and attempt to solve: Simplifying 9 + 2s = 0 Solving 9 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2s = 0 + -9 2s = 0 + -9 Combine like terms: 0 + -9 = -9 2s = -9 Divide each side by '2'. s = -4.5 Simplifying s = -4.5Solution
s = {-5, -4.5}
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