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