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Simplifying 0 = 5s2 + 22s + -15 Reorder the terms: 0 = -15 + 22s + 5s2 Solving 0 = -15 + 22s + 5s2 Solving for variable 's'. Combine like terms: 0 + 15 = 15 15 + -22s + -5s2 = -15 + 22s + 5s2 + 15 + -22s + -5s2 Reorder the terms: 15 + -22s + -5s2 = -15 + 15 + 22s + -22s + 5s2 + -5s2 Combine like terms: -15 + 15 = 0 15 + -22s + -5s2 = 0 + 22s + -22s + 5s2 + -5s2 15 + -22s + -5s2 = 22s + -22s + 5s2 + -5s2 Combine like terms: 22s + -22s = 0 15 + -22s + -5s2 = 0 + 5s2 + -5s2 15 + -22s + -5s2 = 5s2 + -5s2 Combine like terms: 5s2 + -5s2 = 0 15 + -22s + -5s2 = 0 Factor a trinomial. (3 + -5s)(5 + s) = 0Subproblem 1
Set the factor '(3 + -5s)' equal to zero and attempt to solve: Simplifying 3 + -5s = 0 Solving 3 + -5s = 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 + -5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5s = 0 + -3 -5s = 0 + -3 Combine like terms: 0 + -3 = -3 -5s = -3 Divide each side by '-5'. s = 0.6 Simplifying s = 0.6Subproblem 2
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 = -5Solution
s = {0.6, -5}
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