6/x(x -2) -12/x(x +2) =1/x
(6(x +2) -12(x -2)) /x(x -2)(x +2) =1/x
(6x +12 -12x +24) /x(x -2)(x +2) =1/x
(36 -6x) /x(x² -4) -1/x =0
(36 -6x -(x² -4)) /x(x² -4) =0
36 -6x -x² +4 =0; *(-1)
x² +6x -40 =0
D =36 +4*40 =196 =14²
x1 =(-6 -14)/2 = -10
x2 =(-6 +14)/2 =4
ответ: x = -10; x =4