
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
Identify the two common characteristics of the following equations: $x^2+2x-4=0$, $x^2-x=56$, and $3x^2-8x-10=0$. Additionally, specify the condition that should be added if the equation is a quadratic equation with one unknown.

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