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Simplifying -1x2 + 4000x = 4000000 Reorder the terms: 4000x + -1x2 = 4000000 Solving 4000x + -1x2 = 4000000 Solving for variable 'x'. Reorder the terms: -4000000 + 4000x + -1x2 = 4000000 + -4000000 Combine like terms: 4000000 + -4000000 = 0 -4000000 + 4000x + -1x2 = 0 Factor a trinomial. (-2000 + x)(2000 + -1x) = 0Subproblem 1
Set the factor '(-2000 + x)' equal to zero and attempt to solve: Simplifying -2000 + x = 0 Solving -2000 + x = 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 + x = 0 + 2000 Combine like terms: -2000 + 2000 = 0 0 + x = 0 + 2000 x = 0 + 2000 Combine like terms: 0 + 2000 = 2000 x = 2000 Simplifying x = 2000Subproblem 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 = {2000, 2000}
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