## Intermediate Algebra (6th Edition)

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 $\text{ no solution .}$