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Simplifying 200x + -1x2 = 8400 Solving 200x + -1x2 = 8400 Solving for variable 'x'. Reorder the terms: -8400 + 200x + -1x2 = 8400 + -8400 Combine like terms: 8400 + -8400 = 0 -8400 + 200x + -1x2 = 0 Factor a trinomial. (-140 + x)(60 + -1x) = 0Subproblem 1
Set the factor '(-140 + x)' equal to zero and attempt to solve: Simplifying -140 + x = 0 Solving -140 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '140' to each side of the equation. -140 + 140 + x = 0 + 140 Combine like terms: -140 + 140 = 0 0 + x = 0 + 140 x = 0 + 140 Combine like terms: 0 + 140 = 140 x = 140 Simplifying x = 140Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {140, 60}
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