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

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Question 362857: What is the solution set of the equation |x^2-2x|=3x-6?
Answer by HasanSahin(52) About Me  (Show Source):
You can put this solution on YOUR website!
The point is that there may be 2 solution sets in this type of questions..
First >> if (x^2-2x)=>0 >> x^2-2x = 3x-6 >> x^2-5x+6=0 >> (x-2)*(x-3)=0 >> x={2,3}
Second >> (x^2-2x)<0 >> x^2-2x = -3x+6 >> x^2+x-6=0 >> (x-2)*(x+3)=0 >> x={2,-3}
RF.