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Simplifying 15s2 + 70s + 55 = 0 Reorder the terms: 55 + 70s + 15s2 = 0 Solving 55 + 70s + 15s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(11 + 14s + 3s2) = 0 Factor a trinomial. 5((11 + 3s)(1 + s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(11 + 3s)' equal to zero and attempt to solve: Simplifying 11 + 3s = 0 Solving 11 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3s = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3s = 0 + -11 3s = 0 + -11 Combine like terms: 0 + -11 = -11 3s = -11 Divide each side by '3'. s = -3.666666667 Simplifying s = -3.666666667Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Solution
s = {-3.666666667, -1}
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