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Simplifying 200x + -1x2 = 55x + 4200 Reorder the terms: 200x + -1x2 = 4200 + 55x Solving 200x + -1x2 = 4200 + 55x Solving for variable 'x'. Reorder the terms: -4200 + 200x + -55x + -1x2 = 4200 + 55x + -4200 + -55x Combine like terms: 200x + -55x = 145x -4200 + 145x + -1x2 = 4200 + 55x + -4200 + -55x Reorder the terms: -4200 + 145x + -1x2 = 4200 + -4200 + 55x + -55x Combine like terms: 4200 + -4200 = 0 -4200 + 145x + -1x2 = 0 + 55x + -55x -4200 + 145x + -1x2 = 55x + -55x Combine like terms: 55x + -55x = 0 -4200 + 145x + -1x2 = 0 Factor a trinomial. (-105 + x)(40 + -1x) = 0Subproblem 1
Set the factor '(-105 + x)' equal to zero and attempt to solve: Simplifying -105 + x = 0 Solving -105 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + x = 0 + 105 Combine like terms: -105 + 105 = 0 0 + x = 0 + 105 x = 0 + 105 Combine like terms: 0 + 105 = 105 x = 105 Simplifying x = 105Subproblem 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 = {105, 40}
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