To solve the equation \( 31n^2 - 18n = 0 \), we can factor it.
First, we can factor out \( n \):
\[ n(31n - 18) = 0 \]
This gives us two potential solutions:
- \( n = 0 \)
- \( 31n - 18 = 0 \)
Now, let's solve the second equation:
\[ 31n - 18 = 0 \]
Adding 18 to both sides:
\[ 31n = 18 \]
Now, divide both sides by 31:
\[ n = \frac{18}{31} \]
Therefore, the solutions for \( n \) are:
\[ n = 0, \frac{18}{31} \]
The final answer is:
\[ 0, \frac{18}{31} \]