Quick answer
"Figure out" is a transitive verb phrase which is often translated as "resolver", and "solve" is a transitive verb which is also often translated as "resolver". Learn more about the difference between "figure out" and "solve" below.
figure out(
A transitive verb phrase is a phrase that combines a verb with a preposition or other particle and requires a direct object (e.g. Take out the trash.).
transitive verb phrase
1. (to solve)
a. resolver
The first one to figure out the problem gets a prize.El primero que resuelva el problema, se gana un premio.
b. descifrar
Sherlock Holmes figured out the mystery of the stolen jewelry.Sherlock Holmes descifró el misterio de las joyas robadas.
c. calcular (in mathematics)
Figure out the sum of the inner angles of the polygon.Calcula la suma de los ángulos interiores del polígono.
2. (to understand)
a. entender
Today she didn't say hi to me. I can't figure her out.Hoy no me saludó. Me cuesta entenderla.
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A transitive verb is a verb that requires a direct object (e.g. I bought a book.).
1. (to resolve)
a. resolver
In an attempt to solve the financial crisis, the government imposed new taxes.En un intento de resolver la crisis financiera, el gobierno impuso nuevos impuestos.
b. solucionar
You must solve the problem yourself.Tienes que solucionar el problema tú mismo.
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