vector r of a moving particle has the equation with respect to the origin of:

r(t) = (r[0]/t^2[0])(t^2i - 2tt[0]j + (t^2 + 2tt[0])k) where r[0] and t[0] are constants

show that the particle goes through the point P(4,-4,8)r[0]. at what time does it do this?

what I did is i subbed (4,-4,8) into the equation but it didnt make anything clear to me, anyone any advice on how to tackle this problem?

Anyone know how id go about this, i need to find this part to complete parts b) and c) of which i know how to do which is the frustrating part!

i got the following:

r(4,-4,8)= (r[0]/t[0])*(16i/t[0] + 8j + (64/t[0] +16)k)?