4/(x+1)-3/(x+2)=1

Question

the directions are to solve the rational equation

Answer 1

4(x+2)-3(x+1)=(x+1)(x+2)

 

x+5=x^2+3x+2

 

x^2+2x-3=0

 

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

 

x(x+3)-1(x+3)

 

(x-1)(x+3)=0

 

x=1

x=-3