
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 $f(x)=\begin{cases} 2x^{3}+3x^{2}+m, & 0\leqslant x\leqslant 1, \\ mx+5, & x > 1. \end{cases}$ If the graph of the function $f(x)$ intersects the $x$-axis at exactly two different points, then the range of the real number $m$ is \_\_\_\_.

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