(x-2)²-3(x-2)+2=0

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(x-2)²-3(x-2)+2=0
(x-2)²-3(x-2)+2=0

(x-2)²-3(x-2)+2=0
[x-2][x-2-3]+2=0
[x-2][x-5]+2=0
x²-7x+12=0
[x-3][x-4]=0
x1=3
x2=4