QuestionSolve the equation using factoring or the quadratic formula, whichever is appropriate. $$\begin{array}{l} 100 a^{2}+1200 a+3600=0 \\ a= \end{array}$$

Studdy Solution
Since the equation factors as $(a + 6)^2 = 0$, set the factor equal to zero and solve for $a$:
$$a + 6 = 0$$
Solve for $a$:
$$a = -6$$
The solution for $a$ is:
$$\boxed{-6}$$