4/v=(v-6)/(v-4)

Solution for 4/v=(v-6)/(v-4) equation:

4/v=(v-6)/(v-4)

We move all terms to the left:

4/v-((v-6)/(v-4))=0


Domain of the equation: v!=0

v∈R



Domain of the equation: (v-4))!=0

v∈R


We calculate fractions


4v/(-3v^2)+(-((v-6)*v)/(-3v^2)=0


We calculate terms in parentheses: +(-((v-6)*v)/(-3v^2), so:

-((v-6)*v)/(-3v^2

We multiply all the terms by the denominator


-((v-6)*v)


We calculate terms in parentheses: -((v-6)*v), so:

(v-6)*v

We multiply parentheses

v^2-6v

Back to the equation:

-(v^2-6v)


We get rid of parentheses

-v^2+6v

We add all the numbers together, and all the variables

-1v^2+6v

Back to the equation:

+(-1v^2+6v)


We get rid of parentheses

4v/(-3v^2)-1v^2+6v=0

We multiply all the terms by the denominator


-1v^2*(-3v^2)+6v*(-3v^2)+4v=0

We multiply parentheses

-1v^2*(-3v^2)-18v^3+4v=0

We do not support evpression: v^3