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Simplifying x2 + 200x + -480000 = 0 Reorder the terms: -480000 + 200x + x2 = 0 Solving -480000 + 200x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-800 + -1x)(600 + -1x) = 0Subproblem 1
Set the factor '(-800 + -1x)' equal to zero and attempt to solve: Simplifying -800 + -1x = 0 Solving -800 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '800' to each side of the equation. -800 + 800 + -1x = 0 + 800 Combine like terms: -800 + 800 = 0 0 + -1x = 0 + 800 -1x = 0 + 800 Combine like terms: 0 + 800 = 800 -1x = 800 Divide each side by '-1'. x = -800 Simplifying x = -800Subproblem 2
Set the factor '(600 + -1x)' equal to zero and attempt to solve: Simplifying 600 + -1x = 0 Solving 600 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -1x = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -1x = 0 + -600 -1x = 0 + -600 Combine like terms: 0 + -600 = -600 -1x = -600 Divide each side by '-1'. x = 600 Simplifying x = 600Solution
x = {-800, 600}
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