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Simplifying 0 = 2s2 + 13s + 15 Reorder the terms: 0 = 15 + 13s + 2s2 Solving 0 = 15 + 13s + 2s2 Solving for variable 's'. Combine like terms: 0 + -15 = -15 -15 + -13s + -2s2 = 15 + 13s + 2s2 + -15 + -13s + -2s2 Reorder the terms: -15 + -13s + -2s2 = 15 + -15 + 13s + -13s + 2s2 + -2s2 Combine like terms: 15 + -15 = 0 -15 + -13s + -2s2 = 0 + 13s + -13s + 2s2 + -2s2 -15 + -13s + -2s2 = 13s + -13s + 2s2 + -2s2 Combine like terms: 13s + -13s = 0 -15 + -13s + -2s2 = 0 + 2s2 + -2s2 -15 + -13s + -2s2 = 2s2 + -2s2 Combine like terms: 2s2 + -2s2 = 0 -15 + -13s + -2s2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 13s + 2s2) = 0 Factor a trinomial. -1((5 + s)(3 + 2s)) = 0 Ignore the factor -1.Subproblem 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 '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 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 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5Solution
s = {-5, -1.5}
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