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Simplifying x2 + -35x + -9200 = 0 Reorder the terms: -9200 + -35x + x2 = 0 Solving -9200 + -35x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-80 + -1x)(115 + -1x) = 0Subproblem 1
Set the factor '(-80 + -1x)' equal to zero and attempt to solve: Simplifying -80 + -1x = 0 Solving -80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -1x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -1x = 0 + 80 -1x = 0 + 80 Combine like terms: 0 + 80 = 80 -1x = 80 Divide each side by '-1'. x = -80 Simplifying x = -80Subproblem 2
Set the factor '(115 + -1x)' equal to zero and attempt to solve: Simplifying 115 + -1x = 0 Solving 115 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + -1x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + -1x = 0 + -115 -1x = 0 + -115 Combine like terms: 0 + -115 = -115 -1x = -115 Divide each side by '-1'. x = 115 Simplifying x = 115Solution
x = {-80, 115}
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