You can choose 0 for X as you activate Tezzeret's second ability (C.R. 107.1b, 107.3, 602.2b, 601.2b; see also C.R. 107.1c), so that—
you remove no loyalty counters from Tezzeret to pay for that ability (C.R. 107.7), and
you search your library for an artifact card (not: artifact spell [compare C.R. 109.2a with C.R. 109.2b]) with converted mana cost 0 or less when that ability resolves.
Can acidic slimes ability destroy darksteel plate since it enters the battlefield destroy artifact land or enchantment but I'm wondering if it well destroy darksteel plate
Can acidic slimes ability destroy darksteel plate since it enters the battlefield destroy artifact land or enchantment but I'm wondering if it well destroy darksteel plate
Acidic Slime's triggered ability can target an artifact even if it has indestructible (C.R. 601.2c); it's just that that artifact won't be destroyed as the ability resolves if it has indestructible (C.R. 702.12b).
Darksteel Plate
No. The equipment is indestructible, and the Slime's ability is trying to destroy it. So if fails, since what is indestructible cannot be destroyed.
Also, in the future, please create a new thread for new questions. Don't hijack some other and unrelated thread.
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