# 2 Equations in one Variable

Equations arise when we require the values of two terms to be equal. If variables occur in at least one of them, an equation can be understood as the task to find out for which values of the variables the left-hand side term and the right-hand side term have the same value. Simple equations can be solved by applying transformations and solution formulas from a formulary. For a more sophisticated equation, a case analysis may be required.