2a²-4a+2
=2(a²-2a+1)
=2(a-1)²
1/(x-1)=3/(2x-2)+1
1/(x-1)=3/2*1/(x-1)+1
1/2 *1/(x-1)+1=0
2(x-1)+1=0
2x-1=0
x=1/2