Update your post to include full system hardware specs and OS information.
Monitors: make and model? How connected: GPU, motherboard? Connection type: DVI, HDMI, DP.....?
What was the reason for the "20 second" unplugging the second monitor? What was unplugged: power, video, both?
Are both power and video cables securely connected on both ends?
Will the second monitor work in place of the first monitor?
Will the second monitor work on another known working computer?