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Simplifying (600X + -2X2)(600 + -1X) = 0 Multiply (600X + -2X2) * (600 + -1X) (600X * (600 + -1X) + -2X2 * (600 + -1X)) = 0 ((600 * 600X + -1X * 600X) + -2X2 * (600 + -1X)) = 0 ((360000X + -600X2) + -2X2 * (600 + -1X)) = 0 (360000X + -600X2 + (600 * -2X2 + -1X * -2X2)) = 0 (360000X + -600X2 + (-1200X2 + 2X3)) = 0 Combine like terms: -600X2 + -1200X2 = -1800X2 (360000X + -1800X2 + 2X3) = 0 Solving 360000X + -1800X2 + 2X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(180000 + -900X + X2) = 0 Factor a trinomial. 2X((300 + -1X)(600 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(300 + -1X)' equal to zero and attempt to solve: Simplifying 300 + -1X = 0 Solving 300 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + -1X = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -1X = 0 + -300 -1X = 0 + -300 Combine like terms: 0 + -300 = -300 -1X = -300 Divide each side by '-1'. X = 300 Simplifying X = 300Subproblem 3
Set the factor '(600 + -1X)' equal to zero and attempt to solve: Simplifying 600 + -1X = 0 Solving 600 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -1X = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -1X = 0 + -600 -1X = 0 + -600 Combine like terms: 0 + -600 = -600 -1X = -600 Divide each side by '-1'. X = 600 Simplifying X = 600Solution
X = {0, 300, 600}
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