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Simplifying 3s2 + -24s + -144 = 0 Reorder the terms: -144 + -24s + 3s2 = 0 Solving -144 + -24s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-48 + -8s + s2) = 0 Factor a trinomial. 3((-4 + -1s)(12 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 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 = {-4, 12}
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