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Simplifying 200x + -1x2 = 10x + 8625 Reorder the terms: 200x + -1x2 = 8625 + 10x Solving 200x + -1x2 = 8625 + 10x Solving for variable 'x'. Reorder the terms: -8625 + 200x + -10x + -1x2 = 8625 + 10x + -8625 + -10x Combine like terms: 200x + -10x = 190x -8625 + 190x + -1x2 = 8625 + 10x + -8625 + -10x Reorder the terms: -8625 + 190x + -1x2 = 8625 + -8625 + 10x + -10x Combine like terms: 8625 + -8625 = 0 -8625 + 190x + -1x2 = 0 + 10x + -10x -8625 + 190x + -1x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -8625 + 190x + -1x2 = 0 Factor a trinomial. (-115 + x)(75 + -1x) = 0Subproblem 1
Set the factor '(-115 + x)' equal to zero and attempt to solve: Simplifying -115 + x = 0 Solving -115 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + x = 0 + 115 Combine like terms: -115 + 115 = 0 0 + x = 0 + 115 x = 0 + 115 Combine like terms: 0 + 115 = 115 x = 115 Simplifying x = 115Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {115, 75}
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