
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 the proposition $p$: The equation $2x^{2}+ax-a^{2}=0$ has a solution in $[-1,1]$; and the proposition $q$: There is only one real number $x_{0}$ that satisfies the inequality $x_{0}^{2}+2ax+2a\leqslant 0$. If the proposition "$p\vee q$" is false, find the range of values for $a$.

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