
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, $f(x)=\begin{cases} \dfrac{1}{{e}^{x}}, & x < 0 \\ {e}^{x}, & x > 0\end{cases}$, $g(x)=mx^{2}$, if the equation $f(x)+g(x)=0$ regarding $x$ has four different real roots, then the range of the real number $m$ is.

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