When I try to load my EEE PC, BIOS doesn't load (black screen) and two indicators are lighting (green and blue).

You must reset your BIOS (CMOS) in one of several ways:

Before the process please unplug battery and powercord then push the power button for 20 sec. Then try doing one of this:

1) Hold down the power button for 10 seconds. It will reset the bios in some machines OR

2) Remove the ram cover. Jump the jumpers or remove Bios battery 10 seconds etc. OR

3) Hold the reset button on back for 10 seconds with main Battery OUT. It will reset the bios in some machines OR

4) Remove the ram cover. Look for two arrow heads then jump them with a wire for about 10 seconds.

The problem in video with solution in comments is here: http://www.youtube.com/watch?v=bSbKnxDrpxo