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x^{2}=x^{2}+x-2+2
Use the distributive property to multiply x-1 by x+2 and combine like terms.
x^{2}=x^{2}+x
Add -2 and 2 to get 0.
x^{2}-x^{2}=x
Subtract x^{2} from both sides.
0=x
Combine x^{2} and -x^{2} to get 0.
x=0
Swap sides so that all variable terms are on the left hand side.