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(x-1)(x-2)+3=x2-5
We move all terms to the left:
(x-1)(x-2)+3-(x2-5)=0
We add all the numbers together, and all the variables
-(+x^2-5)+(x-1)(x-2)+3=0
We get rid of parentheses
-x^2+(x-1)(x-2)+5+3=0
We multiply parentheses ..
-x^2+(+x^2-2x-1x+2)+5+3=0
We add all the numbers together, and all the variables
-1x^2+(+x^2-2x-1x+2)+8=0
We get rid of parentheses
-1x^2+x^2-2x-1x+2+8=0
We add all the numbers together, and all the variables
-3x+10=0
We move all terms containing x to the left, all other terms to the right
-3x=-10
x=-10/-3
x=3+1/3
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