2/x=5/(x+1

Solution for 2/x=5/(x+1 equation:

2/x=5/(x+1

We move all terms to the left:

2/x-(5/(x+1)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: (x+1)!=0

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

x!=-1

x∈R


We calculate fractions


(2x+2)/(x^2+x)+(-(5*x)/(x^2+x)=0


We calculate terms in parentheses: +(-(5*x)/(x^2+x), so:

-(5*x)/(x^2+x

We add all the numbers together, and all the variables

-(+5x)/(x^2+x

We multiply all the terms by the denominator


-(+5x)

We get rid of parentheses

-5x

Back to the equation:

+(-5x)


We get rid of parentheses

(2x+2)/(x^2+x)-5x=0

We multiply all the terms by the denominator


(2x+2)-5x*(x^2+x)=0

We multiply parentheses

-5x^3-5x^2+(2x+2)=0

We get rid of parentheses

-5x^3-5x^2+2x+2=0

We do not support expression: x^3