first, we have to know that we can put [H+] instead of [H3O+]
so, according to the reaction equation:
by using ICE table:
H2O ↔ H+ + OH-
initial 0 0
change +X +X
Equ X X
when Kw = [H+] [OH-]
and when we have Kw = 2.4 x 10^-14
and when [H+] = [OH-] = X
∴ 2.4 x 10^-14 = X^2
∴ X = √(2.4 x 10^-14)
= 1.55 x 10^-7
∴[H+] = 1.55 x 10^-7