Your basically building a new equation with the two functions given to you. (sqrt(3x + 7)) + (sqrt(3x - 7)) = 0
Then just open up the brackets and simplify further. sqrt(3x + 7) + sqrt(3x - 7)= 0
Nothing to special really happened there, just removed the brackets. Now you move one of the radicals to the other side so you can square the whole equation. sqrt(3x + 7) = - sqrt(3x - 7)
Then go ahead and square both sides to remove the radical. 3x + 7 = 3x - 7
Now if you kept trying to isolate x, you find that both sides will just cancel each other out and you are left with, 7 = -7
Since that statement isn't true your answer will be that there is no solution to this equation. x ∈ Ø