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Simplifying x2 + 109x + -2000 = 0 Reorder the terms: -2000 + 109x + x2 = 0 Solving -2000 + 109x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-125 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-125 + -1x)' equal to zero and attempt to solve: Simplifying -125 + -1x = 0 Solving -125 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -1x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -1x = 0 + 125 -1x = 0 + 125 Combine like terms: 0 + 125 = 125 -1x = 125 Divide each side by '-1'. x = -125 Simplifying x = -125Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-125, 16}
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