We start with this:
![\sqrt{[tex] 2x^{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%5Btex%5D%202x%5E%7B2%7D%20)
-7} [/tex]-1=4
Add 1 to both sides to get:

=5
Now, to get rid of that nasty square root, we square both sides:

=

You're left with this:

= 25
Add 7 to both sides to get:

= 32
Now square root both sides to get rid of the square on 2x:

=

Since 32 isn't a perfect square we're gonna leave it as a square root.
Now divide both sides by 2 and get your answer:
x =