Answer
No solution
Work Step by Step
$$\begin{array}{rl}
m^2+8 m+ 20 & =0 \\
m^2+8 m & =-20 \\
m^2+8 m+\left(\frac{8}{2}\right)^2 & =-20+\left(\frac{8}{2}\right)^2 \\
m^2+8 m+4^2 & =-20+4^2 \\
(m+4)^2 & = -4.
\end{array}$$ The equation has no solution. We cannot take the square root of a negative number.
