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Simplifying 9s2 + -13s + -10 = 0 Reorder the terms: -10 + -13s + 9s2 = 0 Solving -10 + -13s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -9s)(2 + -1s) = 0Subproblem 1
Set the factor '(-5 + -9s)' equal to zero and attempt to solve: Simplifying -5 + -9s = 0 Solving -5 + -9s = 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 + -9s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9s = 0 + 5 -9s = 0 + 5 Combine like terms: 0 + 5 = 5 -9s = 5 Divide each side by '-9'. s = -0.5555555556 Simplifying s = -0.5555555556Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 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 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Solution
s = {-0.5555555556, 2}
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