(X-1)/(x-2)-(x-2)/(x-1)=0

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Solution for (X-1)/(x-2)-(x-2)/(x-1)=0 equation:



(X-1)/(X-2)-(X-2)/(X-1)=0
Domain of the equation: (X-2)!=0
We move all terms containing X to the left, all other terms to the right
X!=2
X∈R
Domain of the equation: (X-1)!=0
We move all terms containing X to the left, all other terms to the right
X!=1
X∈R
We calculate fractions
((X-1)*(X-1))/((X-2)*(X-1))+(-(X-2)*(X-2))/((X-2)*(X-1))=0
We calculate terms in parentheses: +((X-1)*(X-1))/((X-2)*(X-1)), so:
(X-1)*(X-1))/((X-2)*(X-1)
We multiply all the terms by the denominator
(X-1)*(X-1))
Back to the equation:
+((X-1)*(X-1)))
We calculate terms in parentheses: +(-(X-2)*(X-2))/((X-2)*(X-1)), so:
-(X-2)*(X-2))/((X-2)*(X-1)
We multiply all the terms by the denominator
-(X-2)*(X-2))
Back to the equation:
+(-(X-2)*(X-2)))

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