
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 function $f(x)=2^{x}(2^{x}-2)+b (b\in\mathbb{R})$.

(1) If $f(x)$ has zero points, find the range of values for the real number $b$;

(2) When $f(x)$ has zero points, discuss the number of zero points of $f(x)$, and find the zero points of $f(x)$.

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