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Simplifying 20s2 + -21s + 4 = 0 Reorder the terms: 4 + -21s + 20s2 = 0 Solving 4 + -21s + 20s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -4s)(4 + -5s) = 0Subproblem 1
Set the factor '(1 + -4s)' equal to zero and attempt to solve: Simplifying 1 + -4s = 0 Solving 1 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4s = 0 + -1 -4s = 0 + -1 Combine like terms: 0 + -1 = -1 -4s = -1 Divide each side by '-4'. s = 0.25 Simplifying s = 0.25Subproblem 2
Set the factor '(4 + -5s)' equal to zero and attempt to solve: Simplifying 4 + -5s = 0 Solving 4 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5s = 0 + -4 -5s = 0 + -4 Combine like terms: 0 + -4 = -4 -5s = -4 Divide each side by '-5'. s = 0.8 Simplifying s = 0.8Solution
s = {0.25, 0.8}
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