Question 969518
#2:


The best I can make of your description:


{{{((2x)/(9x^2+15x-8))/(3x+5)}}}


{{{highlight_green((2x)*(3x+5)/(9x^2+15x-8))}}}
but WHAT do you want with it?  This is not an equation, so nothing to "solve".


Denominator: (3x 8)(3x 1)----none of these...
(9x  8)(x  1)------none of these....
<s>The denominator is apparently not factorable</s>.  (More combinations were checked than those shown).(Try checking the discriminant, since the graph below means that there ARE two vertical asymptotes.  This means, use general solution of quadratic formula to find zeros of the denominator.)


Your rational expression has two x-intercepts:  0 and {{{1/3}}}.  The degree of numerator and denominator both are two; so expect the leading terms of numerator and denominator to give unbound behavior of x to positive or negative infinity as   {{{(6x^2)/(9x^2)=6/9=2/3}}} or a horizontal asymptote of {{{y=2/3}}}.


A few other details about the rational expression can also be examined.


Expect a graph like this:
{{{graph(300,300,-5,5,-5,5,(2x)*(3x+5)/(9x^2+15x-8))}}}