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Simplifying 3s2 + -21s + -180 = 0 Reorder the terms: -180 + -21s + 3s2 = 0 Solving -180 + -21s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-60 + -7s + s2) = 0 Factor a trinomial. 3((-5 + -1s)(12 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 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 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 2
Set the factor '(12 + -1s)' equal to zero and attempt to solve: Simplifying 12 + -1s = 0 Solving 12 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1s = 0 + -12 -1s = 0 + -12 Combine like terms: 0 + -12 = -12 -1s = -12 Divide each side by '-1'. s = 12 Simplifying s = 12Solution
s = {-5, 12}
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