4/(x+5)=x/(x+3)

Solution for 4/(x+5)=x/(x+3) equation:

4/(x+5)=x/(x+3)

We move all terms to the left:

4/(x+5)-(x/(x+3))=0


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

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

x!=-5

x∈R



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

x∈R


We calculate fractions


4x/((x+5)*(x+3)))+(-(x*(x+5))/((x+5)*(x+3)))=0


We calculate terms in parentheses: -(x*(x+5))/((x+5)*(x+3))), so:

x*(x+5))/((x+5)*(x+3))

We multiply all the terms by the denominator


x*(x+5))

We multiply parentheses

x^2+5x^2

We add all the numbers together, and all the variables

6x^2

Back to the equation:

-(6x^2)


determiningTheFunctionDomain
-6x^2+4x/((x+5)*(x+3)))+(=0

We multiply all the terms by the denominator


-6x^2*((x+5)*(x+3)))+(+4x=0