Question 765230
(*)You need help solving the rational "equation".


(*) What you mean by "halfway through" may be different for some people, but I'll try to go just alittle beyond that.


(*) Yes, the forward slash (/) does indicate division as well as indicating the boundary between numerator and denominator of fraction.



Just know that {{{x^2-4=(x-2)(x+2)}}}



{{{10/(x + 2) - 1 = 9/(x^2 - 4)}}}
{{{10/(x+2)-9/(x^2-4)=1}}}
{{{(x^2-4)((10/(x+2))-(9/(x^2-4)))=x^2-4}}}
{{{10(x-2)-9(x+2)=x^2-4}}}
{{{10x-20-9x-18=x^2-4}}}
{{{x-38=x^2-4}}}
{{{x^2-4-x+38=0}}} ________hope you followed that step______
{{{highlight(x^2-x+34=0)}}}.....
.


Not factorable so use the general solution to quadratic equation.  You should be able to continue from here.