(1)5(x2-x)=3(x2+x),整理得:2x2-8x=0,2x(x-4)=0,2x=0,x-4=0,x1=0,x2=4;(2)(x-2)2=(2x+3)2,x-2=2x+3,x-2=-(2x+3),x1=-5,x2=- 1 3 .