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

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

(X)/(X-3)=-((4)/(X+4))

We move all terms to the left:

(X)/(X-3)-(-((4)/(X+4)))=0


Domain of the equation: (X-3)!=0

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

X!=3

X∈R



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

X∈R


We calculate fractions


5X^2/((X-3)*(X+4))))+(-(-(4*(X-3))/((X-3)*(X+4))))=0


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

4*(X-3))/((X-3)*(X+4)))

We multiply all the terms by the denominator


4*(X-3))

We multiply parentheses

4X+

We add all the numbers together, and all the variables

4X

Back to the equation:

-(4X)


We multiply all the terms by the denominator


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