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Simplifying 2s2 + 5s = -2 Reorder the terms: 5s + 2s2 = -2 Solving 5s + 2s2 = -2 Solving for variable 's'. Reorder the terms: 2 + 5s + 2s2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 5s + 2s2 = 0 Factor a trinomial. (2 + s)(1 + 2s) = 0Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 2
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 = -0.5Solution
s = {-2, -0.5}
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