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(x+2)(x-1)=x^2+1
We move all terms to the left:
(x+2)(x-1)-(x^2+1)=0
We get rid of parentheses
-x^2+(x+2)(x-1)-1=0
We multiply parentheses ..
-x^2+(+x^2-1x+2x-2)-1=0
We add all the numbers together, and all the variables
-1x^2+(+x^2-1x+2x-2)-1=0
We get rid of parentheses
-1x^2+x^2-1x+2x-2-1=0
We add all the numbers together, and all the variables
x-3=0
We move all terms containing x to the left, all other terms to the right
x=3
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