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Simplifying x2 + -200x + -240000 = 0 Reorder the terms: -240000 + -200x + x2 = 0 Solving -240000 + -200x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-400 + -1x)(600 + -1x) = 0Subproblem 1
Set the factor '(-400 + -1x)' equal to zero and attempt to solve: Simplifying -400 + -1x = 0 Solving -400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '400' to each side of the equation. -400 + 400 + -1x = 0 + 400 Combine like terms: -400 + 400 = 0 0 + -1x = 0 + 400 -1x = 0 + 400 Combine like terms: 0 + 400 = 400 -1x = 400 Divide each side by '-1'. x = -400 Simplifying x = -400Subproblem 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 = {-400, 600}
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