Apply the Tschirnhaus transformation to the quartic polynomial

Do you think this will lead to nice zeros?

x4 + 8x3 + (-a? 12a 20)x2 + (-8a 96a 288)x +(-16a2 1920 576). x4 + 8x3 + (-a? 12a 20)x2 + (-8a 96a 288)x +(-16a2 1920 576)