Question: how to simplify a*f(x)=0 with assumption a>0

Dear all,

I would like to simplify the expression a*f(x)=0 with a>0.

It is expected to give f(x)=0, but maple still returns a*f(x)=0

I have tried this

assume(a>0)

simplify(a*f(x)=0)

It gives

a~ f(x)=0, not f(x)=0 

Thanks!

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