(3n+4)/(2-6n)=-2/5

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Solution for (3n+4)/(2-6n)=-2/5 equation: 



(3n+4)/(2-6n)=-2/5

We move all terms to the left:

(3n+4)/(2-6n)-(-2/5)=0



Domain of the equation: (2-6n)!=0

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

-6n!=-2

n!=-2/-6

n!=1/3

n∈R



We add all the numbers together, and all the variables

(3n+4)/(-6n+2)-(-2/5)=0

We get rid of parentheses

(3n+4)/(-6n+2)+2/5=0

We calculate fractions


(15n+20)/(-30n+10)+(-12n+4)/(-30n+10)=0

We multiply all the terms by the denominator


(15n+20)+(-12n+4)=0

We get rid of parentheses

15n-12n+20+4=0

We add all the numbers together, and all the variables

3n+24=0

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

3n=-24

n=-24/3

n=-8

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