1/6=(r+25)/r

Solution for 1/6=(r+25)/r equation:

1/6=(r+25)/r

We move all terms to the left:

1/6-((r+25)/r)=0


Domain of the equation: r)!=0

r!=0/1

r!=0

r∈R


We calculate fractions


(-((r+25)*6)/r*6)+r/r*6)=0


We calculate terms in parentheses: +(-((r+25)*6)/r*6), so:

-((r+25)*6)/r*6

We multiply all the terms by the denominator


-((r+25)*6)


We calculate terms in parentheses: -((r+25)*6), so:

(r+25)*6

We multiply parentheses

6r+150

Back to the equation:

-(6r+150)


We get rid of parentheses

-6r-150

Back to the equation:

+(-6r-150)


We get rid of parentheses

-6r+r/r*6)-150=0

We multiply all the terms by the denominator


-6r*r*6)-150+r=0

Wy multiply elements

-36r^3*6=0

We do not support erpression: r^3