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Simplifying x2 + -160x = 8000 Reorder the terms: -160x + x2 = 8000 Solving -160x + x2 = 8000 Solving for variable 'x'. Reorder the terms: -8000 + -160x + x2 = 8000 + -8000 Combine like terms: 8000 + -8000 = 0 -8000 + -160x + x2 = 0 Factor a trinomial. (-40 + -1x)(200 + -1x) = 0Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(200 + -1x)' equal to zero and attempt to solve: Simplifying 200 + -1x = 0 Solving 200 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -1x = 0 + -200 -1x = 0 + -200 Combine like terms: 0 + -200 = -200 -1x = -200 Divide each side by '-1'. x = 200 Simplifying x = 200Solution
x = {-40, 200}
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