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alphabetical order defies analytical ability


It seems that the order of symbols defeats the Solve algorithm. If I  
take a denominator of e-d, Solve fails.  If I take the order d-e,  
Solve works:


Solve[a-ArcSin[ x/(e-d)]==0,x]
Solve::solex: Solve "can't handle one of the exponents"   [sic!].
                   x
Solve[a - ArcSin[------] == 0, x]
                 -d + e
Solve[a-ArcSin[ x/(d-e)]==0,x]
{{x -> (d - e) Sin[a]}}

----------------------------
Similarly, if I take r1-r2 in the denominator, Solve works.  If I  
take r2-r1 in the denominator, Solve "can't handle one of the  
exponents"   [sic!].

Solve[a-ArcSin[ x/(r1-r2)]==0,x]
{{x -> (r1 - r2) Sin[a]}}
Solve[a-ArcSin[ x/(r2-r1)]==0,x]
Solve::solex: Solve can't handle one of the exponents.
                    x
Solve[a - ArcSin[--------] == 0, x]
                 -r1 + r2





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