Find all solutions of the following equation algebraically. 
Definitions:
Violation
The act or process of breaking a rule or law or failing to comply with a norm or condition.
Affair
A romantic or sexual relationship, typically secret or illicit, between two individuals, usually where at least one is committed to another through marriage or partnership.
Cultural Folkway
Norms or customary behaviors that are characteristic of everyday life in a society, guiding social interactions without strict enforcement.
Sanction
A penalty for norm violation or a reward for norm adherence.
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