Question 604505
{{{(x+1)/(x^2+2x)-(x+4)/(x^2+x)=(-15)/(x^2+3x+2)}}}


{{{(x+1)/(x(x+2))-(x+4)/(x(x+1))=(-15)/((x+2)(x+1))}}}

LCD = x(x+1)(x+2)

Multiply equation by LCD

{{{(x+1)^2-(x+4)(x+2)=-15x}}}


{{{x^2+2x+1-(x^2+6x+8)=-15x}}}

{{{x^2+2x+1-x^2-6x-8)=-15x}}}

-4x-7=-15x
-11x=-7
x= 7/11