Question 845482
{{{6/(x+1) - 7/(x-2) = - 3 /(1-x)}}}
{{{6/(x+1) - 7/(x-2) = 3 /(x-1)}}}
Multiply both sides by {{{(x+1)(x-2)(x-1)}}}
{{{6(x-2)(x-1)-7(x+1)(x-1)=3(x+1)(x-2)}}}
{{{(x-1)(6x-12-7x-7)=3(x+1)(x-2)}}}
{{{(x-1)(-x-19)=3(x^2-x-2)}}}
{{{-(x-1)(x+19)=3(x^2-x-2)}}}
{{{-(x^2+18x-19)=3x^2-3x-6}}}
{{{-x^2-18x+19=3x^2-3x-6}}}
{{{4x^2+15x-25=0}}}
{{{(x+5)(4x-5)=0}}}
Two solutions:
{{{x+5=0}}}
{{{x=-5}}}
and
{{{4x-5=0}}}
{{{4x=5}}}
{{{x=5/4}}}