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Simplifying x2 + -3000x + 2250000 = 0 Reorder the terms: 2250000 + -3000x + x2 = 0 Solving 2250000 + -3000x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1500 + -1x)(1500 + -1x) = 0Subproblem 1
Set the factor '(1500 + -1x)' equal to zero and attempt to solve: Simplifying 1500 + -1x = 0 Solving 1500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -1x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -1x = 0 + -1500 -1x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -1x = -1500 Divide each side by '-1'. x = 1500 Simplifying x = 1500Subproblem 2
Set the factor '(1500 + -1x)' equal to zero and attempt to solve: Simplifying 1500 + -1x = 0 Solving 1500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + -1x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -1x = 0 + -1500 -1x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -1x = -1500 Divide each side by '-1'. x = 1500 Simplifying x = 1500Solution
x = {1500, 1500}
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