Answer
no solution
Work Step by Step
Using the properties of equality, the given equation, $
\sqrt{3x+1}+2=0
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt{3x+1}=-2
.\end{array}
The left side of the equal sign always gives a nonnegative value. This will never be equal to the negative values at the right. Hence, there is $\text{
no solution
.}$
