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Simplifying 18s2 + 84s + 98 = 0 Reorder the terms: 98 + 84s + 18s2 = 0 Solving 98 + 84s + 18s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + 42s + 9s2) = 0 Factor a trinomial. 2((7 + 3s)(7 + 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 '(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 = -2.333333333Solution
s = {-2.333333333, -2.333333333}
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