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Simplifying 3s2 + -18s + -81 = 0 Reorder the terms: -81 + -18s + 3s2 = 0 Solving -81 + -18s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-27 + -6s + s2) = 0 Factor a trinomial. 3((-3 + -1s)(9 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 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 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {-3, 9}
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