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Simplifying 2s2 + -9s + -35 = 0 Reorder the terms: -35 + -9s + 2s2 = 0 Solving -35 + -9s + 2s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -2s)(7 + -1s) = 0Subproblem 1
Set the factor '(-5 + -2s)' equal to zero and attempt to solve: Simplifying -5 + -2s = 0 Solving -5 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2s = 0 + 5 -2s = 0 + 5 Combine like terms: 0 + 5 = 5 -2s = 5 Divide each side by '-2'. s = -2.5 Simplifying s = -2.5Subproblem 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 = {-2.5, 7}
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