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Simplifying 3s2 + 22s + 39 = 0 Reorder the terms: 39 + 22s + 3s2 = 0 Solving 39 + 22s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (13 + 3s)(3 + s) = 0Subproblem 1
Set the factor '(13 + 3s)' equal to zero and attempt to solve: Simplifying 13 + 3s = 0 Solving 13 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3s = 0 + -13 3s = 0 + -13 Combine like terms: 0 + -13 = -13 3s = -13 Divide each side by '3'. s = -4.333333333 Simplifying s = -4.333333333Subproblem 2
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 = -3Solution
s = {-4.333333333, -3}
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