The terms "trust in Christ" and "trust Christ" are only found in the New Living Translation and the Living Bible. Both are paraphrased bibles, not accurate Greek-to-English translations. Let's look at one example:
The World: Bogus Belief #24
You only need to trust Christ to be saved.
God's purpose was that we who were the first to trust in Christ should praise our glorious God.  (Eph 1:12 ) NLT
Here's the New American Standard translation of the same verse:
...to the end that we who were the first to hope in Christ would be to the praise of His glory. (Eph 1:12) NASU
Some would accuse me of quibbling over the words hope and trust, but I wanted to show how denominations will try and reinforce their doctrines by underwriting bogus translations. I love the Living bible. A person can be saved using the Living bible. But it's not accurate.

Saying all of this, is trust in Christ all that's needed to be saved? Is mental assent and agreement to what you've deduced from hearing the gospel enough to be saved? Most denominations would say YES! Counting the cost, true repentance, the heartfelt agreement with God that you are a worthless scumbag, law-breaking sinner, are left out of the equation. Just trust in Christ, they proclaim, and you're in God's grace.

The requirements for salvation can be found here. The issues surrounding water baptism can be found here. Most people find the idea of public baptism embarrassing. Wearing a robe and being immersed in front of a crowd of strangers turns many off. These folks are not interested in salvation; they are looking for a church to "join," much like a social club.

The church of Christ does NOT teach that baptism itself saves a person; it is the blood of Christ that does the saving. Baptism is, however, part of the process. Those who teach otherwise are teaching error.