IPA: /ælˈdʒɛbrɪkli/
KK: /ælˈdʒɛbrɪkli/
In a way that relates to algebra, which is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
The equation can be solved algebraically to find the value of x.
Algebraically → It is formed from "algebra" (from Arabic *al-jabr*, meaning the reunion of broken parts) and the suffix "-ically" (meaning in a manner relating to). The word "algebraically" refers to doing something in a manner that relates to algebra.
Think of 'algebra' as the process of bringing together parts to solve equations, and '-ically' means in a way that relates to that process.