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?