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Simplifying 3s2 + 40s + 13 = 0 Reorder the terms: 13 + 40s + 3s2 = 0 Solving 13 + 40s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (13 + s)(1 + 3s) = 0Subproblem 1
Set the factor '(13 + s)' equal to zero and attempt to solve: Simplifying 13 + s = 0 Solving 13 + s = 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 + s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + s = 0 + -13 s = 0 + -13 Combine like terms: 0 + -13 = -13 s = -13 Simplifying s = -13Subproblem 2
Set the factor '(1 + 3s)' equal to zero and attempt to solve: Simplifying 1 + 3s = 0 Solving 1 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3s = 0 + -1 3s = 0 + -1 Combine like terms: 0 + -1 = -1 3s = -1 Divide each side by '3'. s = -0.3333333333 Simplifying s = -0.3333333333Solution
s = {-13, -0.3333333333}
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