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

Mathematica graphics

Some attempts

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


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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?