# Solving polynomial equations with arbitrary coefficients

This is my first time with Sage and no where on the documentation do I see how to solve a polynomial equation (say a quadratic) with arbitrary complex coefficients. Say I want to solve "x^2 - 7ax + (5+2I)" for x when a \in \mathbb{C}.

How does this happen?

I tried declaring "a" as a complex number using var('a', domain = CC) but that too didn't work. I am using ".factor()" to factorize.

I'm not sure this is supported. Note that at least in some cases (maybe not yours) for some

`a`

there would only be one (double point) solution.