
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 $f(x)=- \frac {1}{2}ax^{2}+(1+a)x-\ln x(a\in\mathbb{R})$.
- (I) When $a > 0$, find the interval of monotonic decrease for the function $f(x)$;
- (II) When $a=0$, let the function $g(x)=xf(x)-k(x+2)+2$. If the function $g(x)$ has two zeros in the interval $[\frac {1}{2},+\infty)$, find the range of the real number $k$.

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