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Simplifying 24s2 + -13s + -2 = 0 Reorder the terms: -2 + -13s + 24s2 = 0 Solving -2 + -13s + 24s2 = 0 Solving for variable 's'. Factor a trinomial. (-1 + -8s)(2 + -3s) = 0Subproblem 1
Set the factor '(-1 + -8s)' equal to zero and attempt to solve: Simplifying -1 + -8s = 0 Solving -1 + -8s = 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 + -8s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8s = 0 + 1 -8s = 0 + 1 Combine like terms: 0 + 1 = 1 -8s = 1 Divide each side by '-8'. s = -0.125 Simplifying s = -0.125Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 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 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Solution
s = {-0.125, 0.6666666667}
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