9(2x-3)^2=16(x+4)^2
[3(2x-3)]^2=[4(x+4)]^2
(6x-9)^2=(4x+16)^2
则6x-9=4x+16
2x=25
x=25/2
或6x-9=-4x-16
10x=-7
x=-7/10