#### Answer

The solutions are complex.

#### Work Step by Step

The equation presented is $(3m+2)^{2}+4=1$. The first step of solving this equation is to subtract four from both sides, leaving us with $(3m+2)^{2}=−3$. Next, one would take the square root of both sides; however, as $\sqrt {-3}$ is imaginary, the solutions to the equation are complex.