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Simplifying 100s2 + -65s + -75 = 0 Reorder the terms: -75 + -65s + 100s2 = 0 Solving -75 + -65s + 100s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-15 + -13s + 20s2) = 0 Factor a trinomial. 5((-3 + -5s)(5 + -4s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -5s)' equal to zero and attempt to solve: Simplifying -3 + -5s = 0 Solving -3 + -5s = 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 + -5s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5s = 0 + 3 -5s = 0 + 3 Combine like terms: 0 + 3 = 3 -5s = 3 Divide each side by '-5'. s = -0.6 Simplifying s = -0.6Subproblem 2
Set the factor '(5 + -4s)' equal to zero and attempt to solve: Simplifying 5 + -4s = 0 Solving 5 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4s = 0 + -5 -4s = 0 + -5 Combine like terms: 0 + -5 = -5 -4s = -5 Divide each side by '-4'. s = 1.25 Simplifying s = 1.25Solution
s = {-0.6, 1.25}
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