
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
Given proposition _\\(p\\)_: The equation _\\(a^2x^2+ax-2=0\\)_ has a solution in the interval \\([-1,1]\\); proposition _\\(q\\)_: There is only one real number _\\(x\\)_ that satisfies the inequality _\\(x^2+2ax+2a\leqslant 0\\)_. If the proposition “_\\(p\\)_ or _\\(q\\)_” is false, find the range of the real number _\\(a\\)_.

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