Answer
complex but not real numbers
Work Step by Step
Using the properties of equality, the given equation, $
(3m+2)^2+4=1
,$ is equivalent to
\begin{array}{l}\require{cancel}
(3m+2)^2=1-4
\\\\
(3m+2)^2=-3
.\end{array}
Since the right side of the equation, $
(3m+2)^2=-3
,$ is less than zero, then the solutions of the given equation are $\text{
complex but not real numbers
.}$
