John Gill Commentary 1 Kings 1:12

"Now therefore come, let me, I pray thee, give thee counsel, that thou mayest save thine own life, and the life of thy son Solomon." — 1 Kings 1:12 (ASV)

Now therefore come, let me, I pray you, give you counsel ,
&c.] How to conduct in this affair, which she being a woman, and no doubt surprised and confounded at this relation, might be at a loss what to do; therefore Nathan, being a wise man, and a faithful friend, offers to give the best advice he could, and desires her attention to it: says he,

that you may save your own life, and the life of your son Solomon ;
which would be the usurper's first care to take away, that he might have no rival, and none to disturb him in his government; which step has been often taken by usurpers to secure themselves, see (Judges 9:5) .