Question 1005305
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{{{graph( 330, 330, -3.5, 5.5, -2.5, 8.5,
           abs(x^2-2x),
           abs(3x-6)
)}}}


<B>Figure</B>. Plots &nbsp;|x^2-2x| &nbsp;and &nbsp;|3x-6| 

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You need to consider the given equation on three separate intervals/segment: 


1) x < 0,

2) 0 <= x <= 2, &nbsp;&nbsp;&nbsp;&nbsp;and

3) x > 2.


On the first interval your equation becomes


{{{x^2-2x = -3x + 6}}}.


On the second interval your equation becomes


{{{-x^2+2x = -3x + 6}}}.


On the third interval your equation becomes


{{{x^2-2x = 3x - 6}}}.


Now solve each equation in its interval.