
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 \(A = \left\{ x \mid a x^{2} + 3 x - 2a = 0 \right\}\) (where \(a\) is a nonzero real number), and set \(B = \left\{ x \mid 2 x^{2} - 5 x - 42 \leqslant 0 \right\}\). If \(A \cap B = A\), determine the range of values for \(a\).

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