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Simplifying 200x + -1x2 = 40x + 5500 Reorder the terms: 200x + -1x2 = 5500 + 40x Solving 200x + -1x2 = 5500 + 40x Solving for variable 'x'. Reorder the terms: -5500 + 200x + -40x + -1x2 = 5500 + 40x + -5500 + -40x Combine like terms: 200x + -40x = 160x -5500 + 160x + -1x2 = 5500 + 40x + -5500 + -40x Reorder the terms: -5500 + 160x + -1x2 = 5500 + -5500 + 40x + -40x Combine like terms: 5500 + -5500 = 0 -5500 + 160x + -1x2 = 0 + 40x + -40x -5500 + 160x + -1x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -5500 + 160x + -1x2 = 0 Factor a trinomial. (-110 + x)(50 + -1x) = 0Subproblem 1
Set the factor '(-110 + x)' equal to zero and attempt to solve: Simplifying -110 + x = 0 Solving -110 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + x = 0 + 110 x = 0 + 110 Combine like terms: 0 + 110 = 110 x = 110 Simplifying x = 110Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {110, 50}
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