The word averiguaba is the imperfect form of averiguar in the first person singular. There are other translations for this conjugation.
See the full averiguar conjugation

averiguar

Y la gente entraba y averiguaba más sobre ello.
And people would come in and learn more about it.
Vi lo que ocurrió cuando la gente lo averiguaba.
I saw what happened when people found out.
Dijo que llamara si averiguaba algo.
You said to call if I found out something.
Ni siquiera me preocupaba si mi padre lo averiguaba.
I didn't even care if Daddy found out.
Me dijo que le contara si averiguaba algo sobre los cuerpos desaparecidos.
He told me to tell him if I found out anything about those missing bodies.
Entre más averiguaba de este hombre, más sentía una admiración extraña.
The more I learn about this man, the more I feel a strange admiration.
¿Y si alguien lo averiguaba y no podía ir al campeonato de Estados Unidos?
What if everyone found out, and I couldn't go to the US Championships?
Bueno, ahora tiene sentido por qué Walter no lo averiguaba.
Well, it makes sense now why Walter couldn't figure out The tech that emitted the amnesia pulse.
No lo sé. Pero dijo que si alguien lo averiguaba, sería su fin.
But she said, if anyone found out, it would all be over for her.
¡Después te pusieron a seguirme para ver qué averiguaba!
And then they got you to follow me to see what I'd find out.
Pero la historia no era tan sencilla. Mientras más se buscaba más se averiguaba.
But history is never so simple; the more one looks, the more one learns.
Dijo que me pagaría si... si averiguaba cuándo llegaban las drogas, así que lo averigüé.
He said he would pay me if— if I found out when the drugs were coming in, so I found out.
Si la Agencia averiguaba eso, era algo que no podrías explicar y eso es lo que quiero que les entregues.
If the Agency found out about that, that's something you couldn't explain and that's what I want you to give them.
Llamó él... y dijo que me pagaría... si averiguaba cuándo llegaban las drogas, así que lo averigüé.
He called... And he said he would pay me if I found out when the drugs were coming in, so I found out.
Elemental, querido Watson... Seguro que tiene alguna relación con el visor o... Tobel no se hubiera tomado tantas molestias... para asegurarse de que yo averiguaba su nombre.
He must have some connection with the bomb sight or Tobel wouldn't have taken so much trouble to see that I got his name.
Averiguaba las cosas que nadie más sabía y a eso es a lo que apostaba.
He'd find out the inside stuff nobody else knew... and that's what he'd put his money on.
Averiguaba qué regalos de Navidad queríamos ese año......y los compraba todos para él, no para nosotros.
As a matter of fact, he would find out whatever Christmas and he would buy them for himself instead of buying them for us.
Lo siento, averiguaba pormenores peculiares para la historia, sabe.
I'm sorry, background details, you know.
El Sr. al-Masri permaneció retenido en la frontera mientras la policía averiguaba si su pasaporte era falso.
Mr. al-Masri had been held at the border while the police checked his passport for evidence of possible forgery.
Sabes mejor que nadie lo que habría podido pasar Si la policía averiguaba que yo sabía dónde estaba Auggie.
You know better than anyone what would have happened If the police found out I knew where auggie was.
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