Originally Posted by

**Stoneface** First off, I do not believe this is a binomial or trinomial; does anyone know what to call this equation?

Alright, my problem is that I do not understand how this problem goes from one step to the next:

Step 1) X³ – 2x² + x + 5(x-1)² = 0

Step 2) X(x²+2x+1) + 5(x-1)² = 0

Step 3) X(x-1)² + 5(x-1)² = 0

Step 4) (x+5) (x-1)² = 0

I understand how to get from step one to step two, but what in the world happens to the 2x from step two to step three and how the heck does that +1 turn into a -1?

Then, in step four where does that x+5 come from? It seems to me that it would be (x+1)(x-1)=0 by the time the equation reaches step four.

Thanks for any help!