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Simplifying 3s2 + -23s + -8 = 0 Reorder the terms: -8 + -23s + 3s2 = 0 Solving -8 + -23s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (-1 + -3s)(8 + -1s) = 0Subproblem 1
Set the factor '(-1 + -3s)' equal to zero and attempt to solve: Simplifying -1 + -3s = 0 Solving -1 + -3s = 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 + -3s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3s = 0 + 1 -3s = 0 + 1 Combine like terms: 0 + 1 = 1 -3s = 1 Divide each side by '-3'. s = -0.3333333333 Simplifying s = -0.3333333333Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-0.3333333333, 8}
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