Question 326651
{{{9/(x^2+7x+10)=5/(x+2)-3/(x+5)}}}
Let me manipulate the equation to form a function. 
Let's find when the function equals zero. 
{{{f(x)=9/(x^2+7x+10)-5/(x+2)+3/(x+5)=0}}}
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{{{graph(300,300,-10,10,-10,10,9/(x^2+7x+10)-5/(x+2)+3/(x+5))}}}
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As you see from the graph, the function never equals zero.
No solution.