SOLUTION: What is the solution set of the equation |x^2-2x| = 3x-6

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Question 174977: What is the solution set of the equation |x^2-2x| = 3x-6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the solution set of the equation |x^2-2x| = 3x-6
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x^2-2x = 3x-6 or x^2-2x = -3x+6
x^2 -5x + 6 = 0 or x^2 + x -6 = 0
(x-2)(x-3) = 0 or (x+3)(x-2) = 0
x = 2 or x = 3 or x = -3 or x = 2
Final answer: x = 2 or 3 or -3
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Cheers,
Stan H.