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Simplifying -18s2 + 18s = -56 Reorder the terms: 18s + -18s2 = -56 Solving 18s + -18s2 = -56 Solving for variable 's'. Reorder the terms: 56 + 18s + -18s2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 18s + -18s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 9s + -9s2) = 0 Factor a trinomial. 2((7 + -3s)(4 + 3s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -3s)' equal to zero and attempt to solve: Simplifying 7 + -3s = 0 Solving 7 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3s = 0 + -7 -3s = 0 + -7 Combine like terms: 0 + -7 = -7 -3s = -7 Divide each side by '-3'. s = 2.333333333 Simplifying s = 2.333333333Subproblem 2
Set the factor '(4 + 3s)' equal to zero and attempt to solve: Simplifying 4 + 3s = 0 Solving 4 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3s = 0 + -4 3s = 0 + -4 Combine like terms: 0 + -4 = -4 3s = -4 Divide each side by '3'. s = -1.333333333 Simplifying s = -1.333333333Solution
s = {2.333333333, -1.333333333}
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