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Simplifying 100s2 + -80s + 16 = 0 Reorder the terms: 16 + -80s + 100s2 = 0 Solving 16 + -80s + 100s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(4 + -20s + 25s2) = 0 Factor a trinomial. 4((2 + -5s)(2 + -5s)) = 0 Ignore the factor 4.Subproblem 1
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 = 0.4Subproblem 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 = {0.4, 0.4}
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