
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 the universal set be $\mathbb{R}$, and let the set $M=\{x|(x+a)(x-1)\leq 0\}$ ($a>0$), and the set $N=\{x|4x^2-4x-3<0\}$.
1. If $M\cup N=\{x|-2\leq x<\frac{3}{2}\}$, find the value of the real number $a$.
2. If $N\cup (\complement_{\mathbb{R}}M)=\mathbb{R}$, find the range of values for the real number $a$.

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