First get all the terms on the same side:
[tex]x^2 + 7x - 4 = 0[/tex]
Now solve using the quadratic formula which is:
[tex] \frac{-b±\sqrt{b^2 - 4ac} }{2a}[/tex]
Plug in the values:
[tex] \frac{-7± \sqrt{49-4(1)(-4)} }{2} [/tex]
So the answer is:
[tex] \frac{-7 ± \sqrt{65} }{2} [/tex]