Question 105115
First find factors of  {{{-6}}} in order to simplify {{{x^2 + x -6}}}.
These are:
{{{1}}}, {{{2}}}, {{{3}}}, {{{6}}}, {{{-1}}},{{{-2}}},{{{-3}}}{{{-6}}}

One of these pairs could be used, 

{{{(-1)*(6)=-6 }}}
{{{(-2)*(3)=-6 }}} 
and that will be a pair that multiply to {{{-6}}} and add to {{{1}}}.


As we can see, {{{-2}}} and {{{3}}} add to {{{1}}}. So the two numbers that multiply to {{{-6}}} and add to {{{1}}} are: {{{-2}}} and {{{3}}}.
	
So, 
{{{(x^2 + x-6)/ (x-2)(x+3)<= 0}}}

Then we have:
 {{{(x(x-1)) / (x^2+x-6) <= 0}}}

{{{(x(x-1)) / (x-2)(x+3) <= 0}}}