Resignarme comes from the verb resignar, meaning 'to resign oneself' or 'to come to terms with something'. It implies a reluctant acceptance of a difficult situation.
In "Mi Problema," the singer uses this word to express the painful process of accepting a life without their loved one. They sing, "Mi problema será resignarme a vivir el resto de mi vida sin ti" (My problem will be to resign myself to living the rest of my life without you), highlighting the deep sorrow and the struggle to accept this new reality.
This song, "Mi Problema" by La Adictiva featuring Marisela, is a super dramatic duet about a breakup where both people are feeling pretty hurt and betrayed. It's a classic back-and-forth where each person feels like they were the good one in the relationship.
The first singer, Marisela, starts by saying she was always honest and transparent, like crystal, and never cheated. She's shocked that her partner is just leaving her so calmly. Then comes the really blunt part: "Que te vaya bien, que te vaya mal, Qué me importa, no es mi problema" [Whether it goes well for you, whether it goes badly for you, what do I care, it's not my problem]. Ouch! But then she admits what her real problem will be: "Mi problema será no nombrarte, Mi problema será resignarme a vivir el resto de mi vida sin ti, Mi problema será olvidarte" [My problem will be not naming you, my problem will be resigning myself to living the rest of my life without you, my problem will be forgetting you].
La Adictiva's singer responds with the same sentiment, saying he was always there for her, always worried about her triumphs and failures, and maybe being too attentive was his mistake. He throws the same line back at her: "Que te vaya bien, que te vaya mal, Qué me importa, no es mi problema" [Whether it goes well for you, whether it goes badly for you, what do I care, it's not my problem]. But just like Marisela, he knows his true pain will be trying to forget her and live without her. It's a powerful song about trying to act tough during a breakup, even when you're completely heartbroken.