It looks like our first step is to square both sides and observe what comes out afterwards. Don't forget to combine like terms every time you square the sides. If it happens that another radical symbol is generated after the first application of squaring process, then it makes sense to do it one more time. Remember, our goal is to get rid of the radical symbols to free up the variable we are trying to solve or isolate.
Well, it looks like we will need to square both sides again because of the new generated radical symbol. But we must isolate the radical first on one side of the equation before doing so. I will keep the square root on the left, and that forces me to move everything to the right.
Looking good so far! Now it's time to square both sides again to finally eliminate the radical.
Be careful though in squaring the left side of the equation. You must also square that −2 to the left of the radical.
What we have now is a quadratic equation in the standard form. The best way to solve for x is to use the Quadratic Formula where a = 7, b = 8, and c = −44.
So the possible solutions are x = 2, and x = .
I will leave it to you to check those two values of "x" back into the original radical equation. I hope you agree that x = 2 is the only solution while the other value is actually extraneous, so disregard it!