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(2m)/(m-1)+(m-5)/m=1
We move all terms to the left:
(2m)/(m-1)+(m-5)/m-(1)=0
Domain of the equation: (m-1)!=0
We move all terms containing m to the left, all other terms to the right
m!=1
m∈R
Domain of the equation: m!=0We calculate fractions
m∈R
2m^2/(m^2-1m)+((m-5)*(m-1))/(m^2-1m)-1=0
We calculate terms in parentheses: +((m-5)*(m-1))/(m^2-1m), so:We multiply all the terms by the denominator
(m-5)*(m-1))/(m^2-1m
We add all the numbers together, and all the variables
-1m+(m-5)*(m-1))/(m^2
We multiply all the terms by the denominator
-1m*(m^2+(m-5)*(m-1))
Back to the equation:
+(-1m*(m^2+(m-5)*(m-1)))
2m^2+((-1m*(m^2+(m-5)*(m-1))))*(m^2-1m)-1*(m^2-1m)=0
We calculate terms in parentheses: +((-1m*(m^2+(m-5)*(m-1))))*(m^2-1m), so:
(-1m*(m^2+(m-5)*(m-1))))*(m^2-1m
We add all the numbers together, and all the variables
-1m+(-1m*(m^2+(m-5)*(m-1))))*(m^2
Back to the equation:
+(-1m+(-1m*(m^2+(m-5)*(m-1))))*(m^2)
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