Find all solutions of the following equation algebraically. 
Definitions:
Expected Count
The theoretically predicted number of times an event is anticipated to occur in a statistical experiment based on a specific hypothesis.
Poisson Distribution
A probability distribution that expresses the likelihood of a given number of events occurring in a fixed interval of time or space, assuming that these events occur with a known constant rate and independently of the time since the last event.
Fixed Interval
A schedule of reinforcement where rewards are provided after a set period of time, used in behaviour analysis.
Degrees of Freedom
The quantity of distinct values or amounts that can be attributed to a statistical distribution.
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