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Simplifying x(200 + -1x) = 3600 (200 * x + -1x * x) = 3600 (200x + -1x2) = 3600 Solving 200x + -1x2 = 3600 Solving for variable 'x'. Reorder the terms: -3600 + 200x + -1x2 = 3600 + -3600 Combine like terms: 3600 + -3600 = 0 -3600 + 200x + -1x2 = 0 Factor a trinomial. (-180 + x)(20 + -1x) = 0Subproblem 1
Set the factor '(-180 + x)' equal to zero and attempt to solve: Simplifying -180 + x = 0 Solving -180 + x = 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 + x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + x = 0 + 180 x = 0 + 180 Combine like terms: 0 + 180 = 180 x = 180 Simplifying x = 180Subproblem 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 = {180, 20}
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