Use this tag for questions related to solving equations involving polynomials.

An *algebraic equation* is an equation of the form $P = 0$ where $P$ is a polynomial with coefficients in some field, often the field of rational numbers.

For most authors, an algebraic equation is *univariate*, which means that it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called *multivariate* and *polynomial equation* is usually preferred to algebraic equation. For example,
$$x^5 - 3x + 1 = 0$$
is an algebraic equation with integer coefficients, and
$$y^4 +\frac{xy}2 = \frac{x^3}3 - xy^2 + y^2 - \frac17$$
is a multivariate polynomial equation with rational coefficients.