Answer
No real solution
Work Step by Step
Use the completing the square method. $$
\begin{aligned}
x^2+6 x+25 & =0 \\
x^2+6 x+3^2 & =-25+3^2 \\
(x+3)^2 & =-16.
\end{aligned}
$$ The left side is positive, while the right side is negative, hence the equation has no real solution.
