3∛x=x-2
27x=x³-6x²+12x-8
27-x³+6x²-12x+8=0
15x-x³+6x²+8=0-x³+6x²+15x+8=0
-x³-x²+7x²+7x+8x+8=0
-x²×(x+1)+7x×(x+1)+8(x+1)=0
-(x+1)×(x²-7x-8)=0
-(x+1)×(x²+x-8x-8)=0
-(x+1)×(x×(x+1)-8(x+1))=0
-(x+1)×(x+1)×(x-8)=0
-(x+1)²×(x-8)=0
-(x+1)²=0
x-8=0
x₁=-1,x₂=8