How would you solve for x with an equation like this?
0.2x^3 - 2.84x^2 + 8.532x - 2.4 = 0
cubics are not simple to solve, in general.
Descartes' Rule of Signs says that there are no negative roots.
I suggest a graph or Newton's method for finding the roots. What methods have you studied?
f(0) = -2.4
f(1) = 3.49
f(3) = 3.0
f(4) = -0.9
f(10) = -1.08
f(11) = 14.01
So, there are roots in [0,1],[3,4],[10,11]