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