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Simplifying 80s2 + 28s + -24 = 0 Reorder the terms: -24 + 28s + 80s2 = 0 Solving -24 + 28s + 80s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 7s + 20s2) = 0 Factor a trinomial. 4((-3 + -4s)(2 + -5s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -4s)' equal to zero and attempt to solve: Simplifying -3 + -4s = 0 Solving -3 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4s = 0 + 3 -4s = 0 + 3 Combine like terms: 0 + 3 = 3 -4s = 3 Divide each side by '-4'. s = -0.75 Simplifying s = -0.75Subproblem 2
Set the factor '(2 + -5s)' equal to zero and attempt to solve: Simplifying 2 + -5s = 0 Solving 2 + -5s = 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 + -5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5s = 0 + -2 -5s = 0 + -2 Combine like terms: 0 + -2 = -2 -5s = -2 Divide each side by '-5'. s = 0.4 Simplifying s = 0.4Solution
s = {-0.75, 0.4}
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