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Simplifying 3s2 + -48s + -51 = 0 Reorder the terms: -51 + -48s + 3s2 = 0 Solving -51 + -48s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-17 + -16s + s2) = 0 Factor a trinomial. 3((-1 + -1s)(17 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1s)' equal to zero and attempt to solve: Simplifying -1 + -1s = 0 Solving -1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1s = 0 + 1 -1s = 0 + 1 Combine like terms: 0 + 1 = 1 -1s = 1 Divide each side by '-1'. s = -1 Simplifying s = -1Subproblem 2
Set the factor '(17 + -1s)' equal to zero and attempt to solve: Simplifying 17 + -1s = 0 Solving 17 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1s = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1s = 0 + -17 -1s = 0 + -17 Combine like terms: 0 + -17 = -17 -1s = -17 Divide each side by '-1'. s = 17 Simplifying s = 17Solution
s = {-1, 17}
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