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Simplifying 4s2 + -44s + -104 = 0 Reorder the terms: -104 + -44s + 4s2 = 0 Solving -104 + -44s + 4s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-26 + -11s + s2) = 0 Factor a trinomial. 4((-2 + -1s)(13 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1s)' equal to zero and attempt to solve: Simplifying -2 + -1s = 0 Solving -2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1s = 0 + 2 -1s = 0 + 2 Combine like terms: 0 + 2 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2Subproblem 2
Set the factor '(13 + -1s)' equal to zero and attempt to solve: Simplifying 13 + -1s = 0 Solving 13 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1s = 0 + -13 -1s = 0 + -13 Combine like terms: 0 + -13 = -13 -1s = -13 Divide each side by '-1'. s = 13 Simplifying s = 13Solution
s = {-2, 13}
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