The Bible was written by men, and men are fallible. That's not to say the Word was not given by God; but much can happen between the delivery and the recording. The Bible is man's interpretation of the Word of God, and may not in many circumstances be the Word itself.
The Bible is incomplete, by the way; there's a whole passel of books that have been arbitrarily excluded (the Apocrypha) because they don't fit in with what the men - and I do mean men - wanted to have the people hear and believe in the culture of the day.
I don't have any problem believing in both the Bible and in science, as regards creation. I do believe man evolved over time into a sentient being; and it was that moment of sentience that God created, when the time was right.
The problem with believing everything in the Bible is that it flat-out contradicts itself, particularly in the Gospels - those stories, for example, were told long after the fact, the earliest, about 40 years (Gospel of John) to nearly 400 years. The Book of Revelations is also a problem, since it is written in a kind of code for which the key has long since been lost. And the New Testament was written in Greek, by Greeks; and they've had this thing about the second-class status of women ever since Aristotle decided that women were aberrations of nature (hence why a number of the books in the Apocrypha are those which show women in strong leadership roles, which didn't sit well with the Greek fathers of the church of the day. Also, subsequently, it didn't help that St. Thomas Aquinas took up Aristotle's anti-feminist war-cry and seriously impaired the woman's role in the Catholic church even further).
There is a lot of wisdom in the Bible. I've found whenever I was in a particularly poor frame of mind, if I went to church, the reading of the day seemed to ignite a spark, and I'd feel much better because it always gave me something to think about. But again, there's selective censorship going on here, because what you get in church are the best bits, carefully edited.
I had occasion to read parts of the Koran recently. It's a very curious thing to read; for one thing, it gives women more rights than the teachings in the Bible. But on the other hand, it encourages beating women if they get too uppity. How much of that are the words of Mohammed and how much of it was influenced by the culture of the people who wrote the Koran?
The Bible is a record of man's understanding of the Word of God, written in the culture of the day, and in the customs of the people of the day; and that understanding is, at best, imperfect. Our interpretation must come from what God Himself gave us - free will and intelligence. To do anything else is to waste that gift.