3(x-5)^2=2(5-x)
3(5-x)^2=2(5-x)
3(5-x)^2-2(5-x)=0
(5-x)[3(5-x)-2]=0
(5-x)(15-3x-2)=0
(5-x)(13-3x)=0
x=5或x=13/3
4(x-2)^2=9(x+3)^2
4(x-2)^2-9(x+3)^2=0
[2(x-2)+3(x+3)][2(x-2)-3(x+3)]=0
(2x-4+3x+9)(2x-4-3x-9)=0
(5x+5)(-x-13)=0
-5(x+1)(x+13)=0
x=-1或x=-13