You can
put this solution on YOUR website!-3y^2+6yt+5=0
-----------
You have a quadratic in y.
Use the quadratic formula to get:
y=[-6t+-sqrt((6t)^2-4(-3)(5)]/-2*3
y=[-6t+-sqrt(36t+60)]/(-6)
y=[-6t+-2sqrt(9t+15)]/-6
y=[t+(1/3)sqrt(9t+15)]
Cheers,
Stan H.