We study the possibility of the coexistence of ferromagnetism and superconductivityrnin a compound ZrZn2. In the first case we derive the triplet equal spin pairingrngap equation as a function of exchange splitting Vc. We have also shown that thernsplitting gap equation can be used to estimate the superconducting temperature,Tsc,rnof ZrZn2in two aspects: Vc = 0 and Vc 6= 0. Here, we first report that the gap equationrnallows us the phase transition from A state (paramagnetic state) to A1 or A2 superconductingrnstates. Additionally, for Vc = 0, we find that Tsc = 0.37k and for Vc 6= 0 wernalso obtain that Tsc = 0.4k for up-up pairing and Tsc = 0.34k for down-down pairingrnrespectively. Here we predict that the highest value of Tsc is related to the majorityrnspin pairing state, and the smallest value of Tsc is related to the minority spin pairingrnstate.rnOn the other hand, we report the phase diagram showing the ferromagnetic Tf andrnthe superconducting Tsc temperatures as a function of pressure in ZrZn2. It is foundrnthat both temperatures decrease with increasing pressure and they vanish simultaneouslyrnat the critical pressure Pc. Her we report that as the pressure increases morernand more spins are fluctuated from their common directions, this effect reduces therntransition temperatures of ZrZn2, we suggest that the same electrons are responsiblernfor both ferromagnetism and superconductivity in ZrZn2. We compare our resultsrnwith the theoretical models and with experimental observations in ZrZn2