# equation solving – solution of \$frac{1}{x}=infty\$

Is there a way to obtain solution $$x=0$$ for the equation $$frac{1}{x}=infty$$ in Mathematica?

I tried `Solve`, `Reduce`, `FindInstance` and with different options, but Mathematica keeps beeping on me that system contains an infinite object or it gives `{}` as answer, meaning no solution. I tried with `Infinity` and `ComplexInfinity`.

Maple gives $$x=0$$ as solution.

Why is `0` not a solution to $$frac{1}{x}=infty$$ ? Since `1/0` gives `ComplexInfinity`

Some attempts

``````ClearAll[x];
eq = 1/x == ComplexInfinity;
Solve[eq, x, Reals, Method -> "Reduce"]
Solve[eq, x]
Reduce[eq, x]
FindInstance[eq, x]
SolveAlways[eq, x]
``````

Maple:

Is there some deep mathematical reason why $$0$$ can not be solution to this equation according to Mathematica, and is there some workaround?