Easy Pre-Calc Question - Natural Logs

[sjaguar13]

e^{-x^2}=(e^x)^3(\frac{1}{e^4})


Wouldn't all the Es cancel out?
-x^2=3x-4

Move the 3x and factor out a -x:
-x(x+3)=-4

Now I got nothing.

[vsage]

try moving the -x^2 over to the right side.

[sjaguar13]

OHHHH....
0=-x^2+3x-4

Do a little factorin'
(x+4)(x-1)

x=-4 or x=1

Both of those are the answer, right, or is there a restriction on x?