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Simplifying x2 + -35x + -10200 = 0 Reorder the terms: -10200 + -35x + x2 = 0 Solving -10200 + -35x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-85 + -1x)(120 + -1x) = 0Subproblem 1
Set the factor '(-85 + -1x)' equal to zero and attempt to solve: Simplifying -85 + -1x = 0 Solving -85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -1x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -1x = 0 + 85 -1x = 0 + 85 Combine like terms: 0 + 85 = 85 -1x = 85 Divide each side by '-1'. x = -85 Simplifying x = -85Subproblem 2
Set the factor '(120 + -1x)' equal to zero and attempt to solve: Simplifying 120 + -1x = 0 Solving 120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1x = 0 + -120 -1x = 0 + -120 Combine like terms: 0 + -120 = -120 -1x = -120 Divide each side by '-1'. x = 120 Simplifying x = 120Solution
x = {-85, 120}
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