How to solve symbolic function

I want to solve t:

eq=(ap^2*t^3)/2 - ap*t^3 + (ap*t^2)/2 - t^3/2 + t^2/2 + (127*t)/8 - 8

assume(1>ap>0)

sol=solve(eq==0,t,"ReturnConditions",true)

But I got this result:

[root(4*ap^2*z^3 - 8*ap*z^3 - 4*z^3 + 4*ap*z^2 + 4*z^2 + 127*z - 64, z, 1); root(4*ap^2*z^3 - 8*ap*z^3 - 4*z^3 + 4*ap*z^2 + 4*z^2 + 127*z - 64, z, 2); root(4*ap^2*z^3 - 8*ap*z^3 - 4*z^3 + 4*ap*z^2 + 4*z^2 + 127*z - 64, z, 3)]

ans =

Empty sym: 1-by-0

I want to get the result like t(ap)=...

Could you please give me some teaching to help me to solve this problem? Thanks a lot.

Answer 1

[Torsten]

syms t ap
eq=(ap^2*t^3)/2 - ap*t^3 + (ap*t^2)/2 - t^3/2 + t^2/2 + (127*t)/8 - 8

eq = 

sol=solve(eq==0,'ReturnConditions',true,'MaxDegree',3)

sol = struct with fields:
             t: [3×1 sym]
    parameters: [1×0 sym]
    conditions: [3×1 sym]

sol.t

ans = 

sol.conditions

ans =