After my own Power 5000 Z/X received 3000 damage from the attack of an opponent's Z/X, it receive 2000 damage from the attack of opponent's other Z/X, what will happen to my Z/X?
That Z/X is destroyed and put into Charge. Damage received within the same turn is accumulated, and if the accumulated damages becomes equal or greater than the Power of the Z/X, that Z/X is put into Charge.
Opponent's Power 5000 Z/X attacks. The opponent's attacking Z/X is dealt 3000 damage by a played Event. Does the attacking Z/X becomes Power 2000 Z/X?
No, while damage accumulate towards Power, the Power value does not reduced by damage. In this case, the opponent's attacking Z/X deals damage equal to its Power (5000 damage).
Opponent's Power 5000 Z/X attacks. The opponent's attacking Z/X gets Power -3000 by a played Event. Does the attacking Z/X becomes Power 2000 Z/X?
Yes, it becomes Power 2000 Z/X. Power + (plus) or - (minus) effect modify the Power value itself.
Opponent's Power 5000 Z/X is dealt 3000 damage by the attack of my own Power 3000 Z/X. Afterwards, I play an Event, and the opponent's Z/X gets Power -2000. Does my opponent's Z/X is destroyed?
Yes, it is destroyed. If Power - (minus) make the Power value of a Z/X becomes equal or less than the damage value it has received, that Z/X is destroyed.
What will happen if Power - (minus) make the Power value of a Z/X becomes equal or less than 0?
Z/X whose Power value becomes equal or less than 0 is destroyed and put into Charge.
Does the "2 Square ahead" of Range 2 also includes diagonal (e.g. Front 1 & Right 1)?
Yes, it does.
Can a Z/X with Range 2 attacks an adjacent Square like a normal Z/X?
Yes, it can.
Can I choose to put a card in Player Square into Trash by the effect of "Void Bringer"?
Yes, you can.
Since the effect of "Void Bringer" said "put it into Trash", the card that left due to this ability does not necessarily need to be put into Charge right?
Yes, it does not need to be put into Charge. If the place to put a card that left the Square is specified, it is put into the specified place without being put into Charge.
How I should pay Cost written as ?
The Cost is paid in the same way as the Cost of Z/X card. You must Sleep an equal number of Reboot cards in Resource, including 1 or more Red card among them.
How I should pay Cost written as ?
The Cost is paid by Sleep the Reboot Z/X with that effect.
If I am able to pay the Cost of [Boot] ability, can I use the ability several times during a turn?