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x^{4}-2x^{3}-x^{2}+x-p=x
Swap sides so that all variable terms are on the left hand side.
-2x^{3}-x^{2}+x-p=x-x^{4}
Subtract x^{4} from both sides.
-x^{2}+x-p=x-x^{4}+2x^{3}
Add 2x^{3} to both sides.
x-p=x-x^{4}+2x^{3}+x^{2}
Add x^{2} to both sides.
-p=x-x^{4}+2x^{3}+x^{2}-x
Subtract x from both sides.
-p=-x^{4}+2x^{3}+x^{2}
Combine x and -x to get 0.
-p=x^{2}+2x^{3}-x^{4}
The equation is in standard form.
\frac{-p}{-1}=\frac{x^{2}\left(1+2x-x^{2}\right)}{-1}
Divide both sides by -1.
p=\frac{x^{2}\left(1+2x-x^{2}\right)}{-1}
Dividing by -1 undoes the multiplication by -1.
p=x^{4}-2x^{3}-x^{2}
Divide x^{2}\left(-x^{2}+2x+1\right) by -1.