t=sin(2*t^3)

get the t

2 answers

Wow, messy
I used
http://www.math.hawaii.edu/lab/241/online-grapher.shtml
and the function

sin(2*x^3) - x

to get answers of x=0 and
x= appr. 0.75 and x = appr 0.97

I further fine-tuned the last two by trial and error and got
x = 0.7523 to get
LS = .7523
RS = .75229 , so that answer is correct to 4 decimals
I will let you do the same for the last approximation
Btw, because of the symmetry of the function
x = appr -0.75 and x = appr. -0.97 would also work