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Simplifying x2 + -3500x + 1500000 = 0 Reorder the terms: 1500000 + -3500x + x2 = 0 Solving 1500000 + -3500x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (500 + -1x)(3000 + -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 '(3000 + -1x)' equal to zero and attempt to solve: Simplifying 3000 + -1x = 0 Solving 3000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3000' to each side of the equation. 3000 + -3000 + -1x = 0 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -1x = 0 + -3000 -1x = 0 + -3000 Combine like terms: 0 + -3000 = -3000 -1x = -3000 Divide each side by '-1'. x = 3000 Simplifying x = 3000Solution
x = {500, 3000}
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