Question 1178615


{{{(x-1)/3+x/(x+1)=(x+4)/6}}}


{{{((x-1)(x+1)+3x)/3(x+1)=(x+4)/6}}}


{{{(x^2-1+3x)/3(x+1)=(x+4)/6}}}


{{{6(x^2+3x-1)=3(x+1)(x+4)}}}


{{{6x^2+18x-6=3x^2 + 15x + 12}}}


{{{6x^2+18x-6-3x^2 - 15x- 12=0}}}


{{{3x^2+3x-18 =0}}}...........divide by {{{3}}}


{{{x^2+x-6 =0}}}.......factor


{{{(x - 2) (x + 3) = 0}}}


solutions:


{{{x=2}}}


{{{x=-3}}}