While this is a good verse to use for salvation, technically, in Romans 10 look at verse 1 and note Paul is dealing with Israel.
Now look at verse 6. Paul is speaking of the righteousness of faith.
10:6 But the righteousness which is of faith speaketh on this wise, Say not in thine heart, Who shall ascend into heaven? (that is, to bring Christ down from above
10:7 Or, Who shall descend into the deep? (that is, to bring up Christ again from the dead.)
10:8 But what saith it? The word is nigh thee, even in thy mouth, and in thy heart: that is, the word of faith, which we preach;
10:9 That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved.
Now look where else we see this; it is in Deuteronomy, to Israel;
30:11 For this commandment which I command thee this day, it is not hidden from thee, neither is it far off.
30:12 It is not in heaven, that thou shouldest say, Who shall go up for us to heaven, and bring it unto us, that we may hear it, and do it?
30:13 Neither is it beyond the sea, that thou shouldest say, Who shall go over the sea for us, and bring it unto us, that we may hear it, and do it?
30:14 But the word is very nigh unto thee, in thy mouth, and in thy heart, that thou mayest do it.
Here is the gospel we need to believe;
This is the gospel by which we are saved.
15:1 Moreover, brethren, I declare unto you the gospel which I preached unto you, which also ye have received, and wherein ye stand;
15:3 For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures;
15:4 And that he was buried, and that he rose again the third day according to the scriptures:
1 Corinthians 15
We are all sinners who can not save ourselves.
Christ died for our sins; He was our substitute, He paid the full penalty and debt for our sin by his blood sacrifice.
He was buried.
He rose again for our justification ( to declare us righteous) and forgiveness of all our sin. He gives us His righteousness and eternal life.
All we have to do is believe the gospel.
We don't need to confess or do anything but believe.
The moment you believe you have eternal life.