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Simplifying (2s2) + -5s = 3 Reorder the terms: -5s + (2s2) = 3 Solving -5s + (2s2) = 3 Solving for variable 's'. Reorder the terms: -3 + -5s + (2s2) = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -5s + (2s2) = 0 Factor a trinomial. (-1 + -2s)(3 + -1s) = 0Subproblem 1
Set the factor '(-1 + -2s)' equal to zero and attempt to solve: Simplifying -1 + -2s = 0 Solving -1 + -2s = 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 + -2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2s = 0 + 1 -2s = 0 + 1 Combine like terms: 0 + 1 = 1 -2s = 1 Divide each side by '-2'. s = -0.5 Simplifying s = -0.5Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.5, 3}
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