
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let set $A = \{x | (x- \frac {1}{2})(x-3)=0\}$, and $B = \{x | \ln(x^{2}+ax+a+ \frac {9}{4})=0\}$.  
(1) If set $B$ contains only one element, find the value of the real number $a$;  
(2) If $B$ is a proper subset of $A$, find the range of values for the real number $a$.

Present the answer in LaTex format: \boxed{Your answer}
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