Answer:
See below.
Explanation:
4x^5 - 12x^4 + x^3 - 52x^2 - 60x - 16 = 0
The fastest way to do this is to draw a graph on paper or with software. This will give you any real solutions. For a complete solution you could then use long division and solve the quotient.
From the graph I drew there are 3 real solutions: 4 and -0.5 multiplicity 2.