15/(5+3n)=9/n

Solution for 15/(5+3n)=9/n equation:

15/(5+3n)=9/n

We move all terms to the left:

15/(5+3n)-(9/n)=0


Domain of the equation: (5+3n)!=0

We move all terms containing n to the left, all other terms to the right

3n!=-5

n!=-5/3

n!=-1+2/3

n∈R



Domain of the equation: n)!=0

n!=0/1

n!=0

n∈R


We add all the numbers together, and all the variables

15/(3n+5)-(+9/n)=0

We get rid of parentheses

15/(3n+5)-9/n=0

We calculate fractions


15n/(3n^2+5n)+(-27n-45)/(3n^2+5n)=0

We multiply all the terms by the denominator


15n+(-27n-45)=0

We get rid of parentheses

15n-27n-45=0

We add all the numbers together, and all the variables

-12n-45=0

We move all terms containing n to the left, all other terms to the right

-12n=45

n=45/-12

n=-3+3/4