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Simplifying 4s2 + -19s + -5 = 0 Reorder the terms: -5 + -19s + 4s2 = 0 Solving -5 + -19s + 4s2 = 0 Solving for variable 's'. Factor a trinomial. (-1 + -4s)(5 + -1s) = 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 '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 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 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-0.25, 5}
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