|x-3|²>7|x-3|-6 bagaimana cara kerjanya nih,, tolong di jawab ya

|x-3|²>7|x-3|-6
y²>7y-6
y²-7y+6>0
(y-6)(y-1)>0
y=6 y=1
y<1 y>6
-1<x-3<1
-1+3<x-3+3<1+3
2<x<4
y>6
x-3>6
(x-3)²>6²
x²-6x+9>36
x²-6x+9-36>0
x²-6x-27>0
(x-9)(x+3)>0
x=9 x=-3
x<-3 x>9
himpunan penyelesaian = { 2<x<4, x elemen bilangan real}