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Simplifying -1x2 + 2400x + -1320000 = 80000 Reorder the terms: -1320000 + 2400x + -1x2 = 80000 Solving -1320000 + 2400x + -1x2 = 80000 Solving for variable 'x'. Reorder the terms: -1320000 + -80000 + 2400x + -1x2 = 80000 + -80000 Combine like terms: -1320000 + -80000 = -1400000 -1400000 + 2400x + -1x2 = 80000 + -80000 Combine like terms: 80000 + -80000 = 0 -1400000 + 2400x + -1x2 = 0 Factor a trinomial. (-1400 + x)(1000 + -1x) = 0Subproblem 1
Set the factor '(-1400 + x)' equal to zero and attempt to solve: Simplifying -1400 + x = 0 Solving -1400 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1400' to each side of the equation. -1400 + 1400 + x = 0 + 1400 Combine like terms: -1400 + 1400 = 0 0 + x = 0 + 1400 x = 0 + 1400 Combine like terms: 0 + 1400 = 1400 x = 1400 Simplifying x = 1400Subproblem 2
Set the factor '(1000 + -1x)' equal to zero and attempt to solve: Simplifying 1000 + -1x = 0 Solving 1000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + -1x = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -1x = 0 + -1000 -1x = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -1x = -1000 Divide each side by '-1'. x = 1000 Simplifying x = 1000Solution
x = {1400, 1000}
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