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Simplifying (5s2) + -26s = 24 Reorder the terms: -26s + (5s2) = 24 Solving -26s + (5s2) = 24 Solving for variable 's'. Reorder the terms: -24 + -26s + (5s2) = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -26s + (5s2) = 0 Factor a trinomial. (-4 + -5s)(6 + -1s) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve: Simplifying 6 + -1s = 0 Solving 6 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1s = 0 + -6 -1s = 0 + -6 Combine like terms: 0 + -6 = -6 -1s = -6 Divide each side by '-1'. s = 6 Simplifying s = 6Solution
s = {-0.8, 6}
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