What does the Bible say about salvation being impossible for men?

In Matthew 19:26, Jesus states, 'With men this is impossible; but with God all things are possible.' This emphasizes the doctrine of total depravity where man, in his sinful nature, cannot achieve salvation on his own. The rich young man in the passage believed his own works could earn him eternal life, reflecting a common misunderstanding of the law's purpose. The Scriptures consistently affirm that man is powerless to save himself, as seen in Romans 3:10, which declares, 'There is none righteous, no, not one.' This highlights the necessity of divine intervention to secure salvation.