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Simplifying 200x + -1x2 = 20x + 5600 Reorder the terms: 200x + -1x2 = 5600 + 20x Solving 200x + -1x2 = 5600 + 20x Solving for variable 'x'. Reorder the terms: -5600 + 200x + -20x + -1x2 = 5600 + 20x + -5600 + -20x Combine like terms: 200x + -20x = 180x -5600 + 180x + -1x2 = 5600 + 20x + -5600 + -20x Reorder the terms: -5600 + 180x + -1x2 = 5600 + -5600 + 20x + -20x Combine like terms: 5600 + -5600 = 0 -5600 + 180x + -1x2 = 0 + 20x + -20x -5600 + 180x + -1x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -5600 + 180x + -1x2 = 0 Factor a trinomial. (-140 + x)(40 + -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 '(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 = 40Solution
x = {140, 40}
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