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(-2x+2)/(x(x+1))=0
Domain of the equation: (x(x+1))!=0We multiply all the terms by the denominator
x∈R
(-2x+2)=0
We get rid of parentheses
-2x+2=0
We move all terms containing x to the left, all other terms to the right
-2x=-2
x=-2/-2
x=1
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