Question 283765
x+4/x+2-3/x=-(6/x^2+2x)

x(x+4) -3(x+2) / x(x+2) = 6 / x(x+2)

(x^2+4x-3x-6) / x(x+2) = 6/ x(x+2)

(x^2+x-6)/x(x+2)=6/x(x+2)

x(x+2)(x^2+x-6)/x(x+2)= 6

x(x+2) cancel off

(x^2+x-6)=6

x^2-x-6-6=0

x^2-x-12=0

x^2-4x+3x-12=0

x(x-4)+1(x-4)=0

(x-4)(x+1)=0