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Simplifying x2 + -2500x + 1000000 = 0 Reorder the terms: 1000000 + -2500x + x2 = 0 Solving 1000000 + -2500x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (500 + -1x)(2000 + -1x) = 0Subproblem 1
Set the factor '(500 + -1x)' equal to zero and attempt to solve: Simplifying 500 + -1x = 0 Solving 500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -1x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 0 + -500 -1x = 0 + -500 Combine like terms: 0 + -500 = -500 -1x = -500 Divide each side by '-1'. x = 500 Simplifying x = 500Subproblem 2
Set the factor '(2000 + -1x)' equal to zero and attempt to solve: Simplifying 2000 + -1x = 0 Solving 2000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2000' to each side of the equation. 2000 + -2000 + -1x = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -1x = 0 + -2000 -1x = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -1x = -2000 Divide each side by '-1'. x = 2000 Simplifying x = 2000Solution
x = {500, 2000}
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