(X)/(x-1)=(8)/(x+2)

Solution for (X)/(x-1)=(8)/(x+2) equation:

(X)/(X-1)=(8)/(X+2)

We move all terms to the left:

(X)/(X-1)-((8)/(X+2))=0


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



Domain of the equation: (X+2))!=0

X∈R


We calculate fractions


3X^2/((X-1)*(X+2)))+(-(8*(X-1))/((X-1)*(X+2)))=0


We calculate terms in parentheses: -(8*(X-1))/((X-1)*(X+2))), so:

8*(X-1))/((X-1)*(X+2))

We multiply all the terms by the denominator


8*(X-1))

We multiply parentheses

8X+

We add all the numbers together, and all the variables

8X

Back to the equation:

-(8X)


We multiply all the terms by the denominator


3X^2-8X*((X-1)*(X+2)))+(=0