49(x-3)²=16(x+4)²
[7(x-3)]²=[4(x+4)]²
7|x-3|=4|x+4|
7(x-3)=4(x+4)或7(x-3)=-4(x+4)
7(x-3)=4(x+4)
7x-21=4x+16
3x=37,x=37/3
7(x-3)=-4(x+4)
7x-21=-4x-16
11x=5,x=5/11
故方程的解为x=37/3或x=5/11