Can a ZX2500 kicker amp push 4 L7 15" solo baric

SOURCE: L7 wiring options

yes it should work fine i would bridge them up to 4 ohms each speaker then bridge them back bye conectin them on the amp by puting the red with the red and puting the black with the black if the amp only has 1 chanel then put both speakers red on the same positive on the amp and same with the negative now to bring the ohms up to 4 ohms conect the solid red to the black with dot with a short wire ok then the ones that are not run together will go to the amp giving offf 4 ohms and with the 2 speakers bridged together thay will reduce to 2 ohms witch means that eatch speaker will get about 600 wats of rms from the amp

SOURCE: how to wire my kicker solar baric

All depends on your amp. Is it 1 ohm stable or not?
Parralell:
positive (pos) on voice coil 1 (vc1) to Pos on vc2 and negative (neg) on vc1 to neg on vc2. Then speaker wire from amp to one vc only = 1ohm load.
Series:
Pos from amp to Pos on vc1. Neg of vc1 to Pos of vc2. Neg of vc2 to amp = 4 ohm load.

SOURCE: wire my kicker

This will help you :)


Below is a link to the subwoofers manual where is clearly states how to wire it all up, it includes both the 2ohm DVC and 4 ohm DVC models.

Click Here for the L7 Solo Baric Manual

SOURCE: My Amp Keeps shutting off

You need to get an amp with higher wattage. Obviously, your amp cannot handle those two 10" monsters. hehe Nice Subs though :D