To solve this problem you must:
 1. Rewrite the equations:
 y=x²-2x-1  (i)
 
 y=-2  (ii)
 2. Then: 
 (i)=(ii)
 -2=x²-2x-1
 3. Now, you must order the terms and and factorize, as below:
 (x-1)(x-1)=0
 (x-1)²=0
 4. The solution is:
 x=1
 You can see that the graphs attached touch each other in x=1. Therefore, the solution is x=1