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Simplifying 2s2 = 13s + 7 Reorder the terms: 2s2 = 7 + 13s Solving 2s2 = 7 + 13s Solving for variable 's'. Reorder the terms: -7 + -13s + 2s2 = 7 + 13s + -7 + -13s Reorder the terms: -7 + -13s + 2s2 = 7 + -7 + 13s + -13s Combine like terms: 7 + -7 = 0 -7 + -13s + 2s2 = 0 + 13s + -13s -7 + -13s + 2s2 = 13s + -13s Combine like terms: 13s + -13s = 0 -7 + -13s + 2s2 = 0 Factor a trinomial. (-1 + -2s)(7 + -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 '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {-0.5, 7}
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