GMAT question: factoring to get roots?

I’m a little embarrassed to be confused about this (even anonymously) but its driving me crazy…on a pg of the Official GMAT Guide 11th ed. there is an example about factoring…the equation starts out with an x cubed and then they simplify it to an x squared…I know they are trying to just get the roots so maybe they are just dropping a factor or something?

So, how did they get from the 3rd to 4th line?? Thanks…
here it is:

x^3 – 2x^2 + x + 5(x-1)^2 = 0

x (x^2 – 2x + 1) + 5(x-1)^2 = 0

x (x-1)^2 + (x-1)^2 + 5(x-1)^2 = 0

(x+5) (x-1)^2 = 0 [**??**]

x = -5 or 1
redhed…you didn’t answer the question but with your response I figured it out…ur right (x-1)^2 is factored out leaving it times x+5 (and no 1).
I typed it in wrong. nm thanks tho.

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