why take the derivative to find t? It won't help here. Just expand and solve:
0.2t^3 - 2.84t^2 + 9.282t = 2.4 + 0.75t
0.2t^3 - 2.84t^2 + 8.532t - 2.4 = 0
Now you can fall back on graphical methods, or Newton's method or something you have in your bag of tricks.
How would you solve this in order to find t?
0.2t(t-5.1)(t-9.1)=2.4+0.75t
I tried differentiating it, but I wasn't getting the answer I was supposed to
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