Answer
No solution
Work Step by Step
Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 5x+3=16. We subtract by 3 on both sides and then divide both sides of the equation by 5 to isolate x and obtain: x=13/5.
We now must check our solution:
$\sqrt{(13/5)(5) +3} = -4 \\\\\ \sqrt {16}=-4 \\\\ 4=-4$
This is not true, so there is no solution.