-6/(x-3)(x+3) -(x+1)/(x-3) =1/(x+3)
(-6 -(x+1)(x+3)) /(x-3)(x+3) =1/(x+3)
(-6 -(x²+3x+x+3))/(x-3)(x+3) =1/(x+3)
(-6 -x² -4x -3)/(x-3)(x+3) -1/(x+3) =0
(-9 -x² -4x -(x-3)) /(x-3)(x+3) =0
-9 -x² -4x -x +3 =0
-x² -5x -6 =0, *(-1)
x² +5x +6 =0
D =b² -4ac
(a=1, b=5, c=6)
D =25 -4*6 =1
x1,x2=(-b+-корень изD)/2a
x1 =(-5 -1)/2 = -3
x2 =(-5 +1)/2 = -2
ответ: x= -2, x= -3