x/(x+4)=-9/(x+3)

Solution for x/(x+4)=-9/(x+3) equation:

x/(x+4)=-9/(x+3)

We move all terms to the left:

x/(x+4)-(-9/(x+3))=0


Domain of the equation: (x+4)!=0

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

x!=-4

x∈R



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

x∈R


We calculate fractions


4x^2/((x+4)*(x+3)))+(-(-9*(x+4))/((x+4)*(x+3)))=0


We calculate terms in parentheses: -(-9*(x+4))/((x+4)*(x+3))), so:

-9*(x+4))/((x+4)*(x+3))

We multiply all the terms by the denominator


-9*(x+4))

We multiply parentheses

-9x-

We add all the numbers together, and all the variables

-9x

Back to the equation:

-(-9x)


We get rid of parentheses

4x^2/((x+4)*(x+3)))+(+9x=0

We multiply all the terms by the denominator


4x^2+9x*((x+4)*(x+3)))+(=0