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Simplifying 3s2 + -3s + -168 = 0 Reorder the terms: -168 + -3s + 3s2 = 0 Solving -168 + -3s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + -1s + s2) = 0 Factor a trinomial. 3((-7 + -1s)(8 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve: Simplifying -7 + -1s = 0 Solving -7 + -1s = 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 + -1s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1s = 0 + 7 -1s = 0 + 7 Combine like terms: 0 + 7 = 7 -1s = 7 Divide each side by '-1'. s = -7 Simplifying s = -7Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-7, 8}
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