Rompecabezas is a fun Spanish word that literally means "head-breaker" (from romper - to break, and cabezas - heads). It's the common word used for a "jigsaw puzzle".
In this song, Ricky Martin uses it as a powerful metaphor for his life, singing "Le faltan piezas al rompecabezas" (The puzzle is missing pieces). He's expressing that his life feels incomplete and doesn't make sense without the person he loves, creating a vivid image of heartbreak.
This song is a classic breakup ballad from Puerto Rican superstar Ricky Martin. It's all about that awful feeling when you're trying to move on, but you just can't. He lays it all out, starting with a specific count: "Van diez noches sin hablar" (It's been ten nights without talking). The days are a mix of ups and downs, as he says in the title line, "A veces bien / Y a veces mal" (Sometimes good / And sometimes bad).
He's completely stuck in the past, admitting how hard it is to forget someone you loved so easily. The song uses a great image for this feeling of being incomplete: "Le faltan piezas al rompecabezas" (The puzzle is missing pieces). He's surrounded by memories, even saying the photos on his table feel heavy. In the end, he's just hoping the other person feels the same way, asking them to please tell him "que nuestro amor no murió" (that our love didn't die).
Ricky Martin was turned down by Menudo twice for being too short. The third audition worked, and in 1984 Enrique Martín Morales joined the Puerto Rican boy band at twelve, staying past his age-mandated retirement until July 1989. Two solo ballad albums followed, Ricky Martin (1991) and Me Amarás (1993), before he changed direction.
A Medio Vivir (1995) carried "María", his first hit well beyond Latin America, and Vuelve (1998) carried "La Copa de la Vida", the official song of that year's World Cup in France. He sang it at the 1999 Grammy Awards, where Vuelve took Best Latin Pop Performance, and that spring "Livin' la Vida Loca" spent five weeks at number one on the Billboard Hot 100 as the lead single from his first English-language album. He has gone on recording in Spanish throughout: Almas del Silencio (2003), and A Quien Quiera Escuchar (2015), which won Best Latin Pop Album. He came out publicly in 2010, and his foundation campaigns against human trafficking.