(1)3(x-2)=5x(x-2)可化为:3(x-2)-5x(x-2)=0,提公因式得,(x-2)(3-5x)=0,解得,x1=2,x2= 3 5 . (2)2x2-4x-1=0可化为x2-2x- 1 2 =0,整理得,x2-2x+1= 3 2 ,即(x-1)2= 3 2 ,x-1=± 6 2 ,x=1± 6 2 ,x1= 2+ 6 2 ,x2= 2? 6 2 .