Find the point where the greater growth rate surpasses the lesser one without graphing

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I have 2 lines:

f(x) = 2010x^2 + 1388x

and

g(x) = x^3

What's the strategy for finding a x1 >= 0 where g(x) becomes greater than f(x) for all x >= x1?

If one DNE, how would I know?