2/(r+4)=4/r

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Solution for 2/(r+4)=4/r equation:



2/(r+4)=4/r
We move all terms to the left:
2/(r+4)-(4/r)=0
Domain of the equation: (r+4)!=0
We move all terms containing r to the left, all other terms to the right
r!=-4
r∈R
Domain of the equation: r)!=0
r!=0/1
r!=0
r∈R
We add all the numbers together, and all the variables
2/(r+4)-(+4/r)=0
We get rid of parentheses
2/(r+4)-4/r=0
We calculate fractions
2r/(r^2+4r)+(-4r-16)/(r^2+4r)=0
We multiply all the terms by the denominator
2r+(-4r-16)=0
We get rid of parentheses
2r-4r-16=0
We add all the numbers together, and all the variables
-2r-16=0
We move all terms containing r to the left, all other terms to the right
-2r=16
r=16/-2
r=-8

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