去分母,等式两边同乘以x+3
(x-3)(x+3)+6x-x²=0
x²-9+6x-x²=0
6x=9
x=3/2,代入分式方程检验,分母x+3=3/2+3=9/2≠0,x=3/2是分式方程的解.
x=3/2