Solving Equations In this article1, we consider the problem of solving certain types of equations (called polynomial equations). For example, imagine you are given the equation $$ \begin{align} 4 - x^{2} = 0 \end{align} $$ and asked to do the following: determine if there exists a solution for the variable $x$ in integers. Since it is easy to come up with a single solution in this case, namely $x=2$, we can use this specific solution to answer this question in the affirmative.