# Uncommon case in Arden's lemma $q_{2} = 1q_{2} \cup 0q_{2}$

I'm trying to get the regular expression of an automata but an state has a form that I don't know how to solve, the form on its simplest example is:
$$q_{2} = 1q_{2} \cup 0q_{2}$$ What's the procedure to solve this form? Thanks in advance

• Use $ax+bx=(a+b)x$. – Yuval Filmus Sep 2 at 21:31
• Thanks a lot!!! – Gabe Sep 5 at 3:58