but the ms says:
0<x<20
Okay, I guess Dude eliminated the 4x.
4x(x - 25)(x - 20) > 0
3 critical values:
x = 0, x = 20, x = 25.
V = 4x(x - 25)(x - 20)
As x tends to infinity; V tends to infinity.
As x tends to -ve infinity; V tends to -ve infinity.
See the curve in the attachment.
V > 0; upper part lying above the line.
Therefore, 0 < x < 20, and x > 25.
Now, why is x > 25 eliminated...