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

Mathematica graphics

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:

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