(3n+1)/(3n-1)=9

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Solution for (3n+1)/(3n-1)=9 equation:



(3n+1)/(3n-1)=9
We move all terms to the left:
(3n+1)/(3n-1)-(9)=0
Domain of the equation: (3n-1)!=0
We move all terms containing n to the left, all other terms to the right
3n!=1
n!=1/3
n!=1/3
n∈R
We multiply all the terms by the denominator
(3n+1)-9*(3n-1)=0
We multiply parentheses
(3n+1)-27n+9=0
We get rid of parentheses
3n-27n+1+9=0
We add all the numbers together, and all the variables
-24n+10=0
We move all terms containing n to the left, all other terms to the right
-24n=-10
n=-10/-24
n=5/12

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