To Study, To Consider
You examine it but you also chastise it, because you want to make sure this examining is correct. This is to examine or to study. All require chastising things to be sure for sure.
検討する generally implies thoroughly examining something to consider its pros and cons, suitability, or viability.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
We’re looking into replacing our bulky laptop with a slim tablet.