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Simplifying 3600 = x(200 + -1x) 3600 = (200 * x + -1x * x) 3600 = (200x + -1x2) Solving 3600 = 200x + -1x2 Solving for variable 'x'. Reorder the terms: 3600 + -200x + x2 = 200x + -200x + -1x2 + x2 Combine like terms: 200x + -200x = 0 3600 + -200x + x2 = 0 + -1x2 + x2 3600 + -200x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3600 + -200x + x2 = 0 Factor a trinomial. (20 + -1x)(180 + -1x) = 0Subproblem 1
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 = 20Subproblem 2
Set the factor '(180 + -1x)' equal to zero and attempt to solve: Simplifying 180 + -1x = 0 Solving 180 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + -1x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1x = 0 + -180 -1x = 0 + -180 Combine like terms: 0 + -180 = -180 -1x = -180 Divide each side by '-1'. x = 180 Simplifying x = 180Solution
x = {20, 180}
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