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Simplifying 4s2 + -8s + -192 = 0 Reorder the terms: -192 + -8s + 4s2 = 0 Solving -192 + -8s + 4s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-48 + -2s + s2) = 0 Factor a trinomial. 4((-6 + -1s)(8 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve: Simplifying -6 + -1s = 0 Solving -6 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1s = 0 + 6 -1s = 0 + 6 Combine like terms: 0 + 6 = 6 -1s = 6 Divide each side by '-1'. s = -6 Simplifying s = -6Subproblem 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 = {-6, 8}
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