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Simplifying 200x + -1x2 = 5x + 3500 Reorder the terms: 200x + -1x2 = 3500 + 5x Solving 200x + -1x2 = 3500 + 5x Solving for variable 'x'. Reorder the terms: -3500 + 200x + -5x + -1x2 = 3500 + 5x + -3500 + -5x Combine like terms: 200x + -5x = 195x -3500 + 195x + -1x2 = 3500 + 5x + -3500 + -5x Reorder the terms: -3500 + 195x + -1x2 = 3500 + -3500 + 5x + -5x Combine like terms: 3500 + -3500 = 0 -3500 + 195x + -1x2 = 0 + 5x + -5x -3500 + 195x + -1x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -3500 + 195x + -1x2 = 0 Factor a trinomial. (-175 + x)(20 + -1x) = 0Subproblem 1
Set the factor '(-175 + x)' equal to zero and attempt to solve: Simplifying -175 + x = 0 Solving -175 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '175' to each side of the equation. -175 + 175 + x = 0 + 175 Combine like terms: -175 + 175 = 0 0 + x = 0 + 175 x = 0 + 175 Combine like terms: 0 + 175 = 175 x = 175 Simplifying x = 175Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {175, 20}
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