What does it mean when my MacBook only turns on when the charger is connected?

Question

I just came home vacation with my laptop fully charged and when I went to go turn it on today it wouldn't unless the charger was in. Then I removed the charger and the computer shut down. What does this mean?

Answer 1

Battery Information:
  Model Information:
  Serial Number:          DP-ASMB016-3889-210
  Manufacturer:          DP
  Device name:          ASMB016
  Pack Lot Code:          0002
  PCB Lot Code:          0000
  Firmware Version:          0110
  Hardware Revision:          0500
  Cell Revision:          0102
  Charge Information:
  Charge remaining (mAh):          0
  Fully charged:          No
  Charging:          No
  Full charge capacity (mAh):          0
  Health Information:
  Cycle count:          752
  Condition:          Check Battery
  Battery Installed:          Yes
  Amperage (mA):          0
  Voltage (mV):          9727
System Power Settings:
  AC Power:
  System Sleep Timer (Minutes):          10
  Disk Sleep Timer (Minutes):          10
  Display Sleep Timer (Minutes):          10
  Automatic Restart On Power Loss:          No
  Wake On AC Change:          No
  Wake On Clamshell Open:          Yes
  Wake On LAN:          Yes
  Display Sleep Uses Dim:          Yes
  Battery Power:
  System Sleep Timer (Minutes):          60
  Disk Sleep Timer (Minutes):          10
  Display Sleep Timer (Minutes):          60
  Wake On AC Change:          No
  Wake On Clamshell Open:          Yes
  Display Sleep Uses Dim:          Yes
  Reduce Brightness:          Yes
Hardware Configuration:
  UPS Installed:          No
AC Charger Information:
  Connected:          Yes
  Charging:          No