.
Plot y =
This plot is a HINT. It shows you visually that there are no real solutions.
To prove it, use Calculus.
The Calculus will show you, first, that the polynomial has only one min/max point, where the first derivative is zero.
Next, since the polynomial tends to +infinity wnen x--->
and/or x --->
, it becomes clear that the min/max is actually the minimum.
Finally, you can check that the minimum provides a positive value of the polynomial. // It is a simple calculation.
Thus you (actually, it was me) proved that the given equation has no real solution.
Solved.