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Simplifying -1x2 + 8000 = 160x Reorder the terms: 8000 + -1x2 = 160x Solving 8000 + -1x2 = 160x Solving for variable 'x'. Reorder the terms: 8000 + -160x + -1x2 = 160x + -160x Combine like terms: 160x + -160x = 0 8000 + -160x + -1x2 = 0 Factor a trinomial. (40 + -1x)(200 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 200 + x = 0 Solving 200 + x = 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 + x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + x = 0 + -200 x = 0 + -200 Combine like terms: 0 + -200 = -200 x = -200 Simplifying x = -200Solution
x = {40, -200}
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