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Strange result of solve

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From	Wiel Aerts <wiel.aerts@xs4all.nl>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Strange result of solve
Date	Mon, 10 Mar 2014 08:41:56 +0000 (UTC)
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I cannot really understand the different results of the following:

Solve[ 5 x == 0, x, Modulus-> 5 ]
result:  {{x-> 0}}

and:

Solve[ 0 x == 0, x, Modulus-> 5 ]
result: {{}}

The last means that every x is OK. Which I think is true. But I would 
expect the same result for the first case.

What am I missing?

Wiel

I'm using MTM v9.

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Strange result of solve Wiel Aerts <wiel.aerts@xs4all.nl> - 2014-03-10 08:41 +0000

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