Find the value of `(4c^2)/(6)-25`. When c = 9.

Answer

To find the value of the expression \((4c^2)/6 - 25\) when \(c = 9\), we can follow these steps:

### Step 1: Substitute the value of \(c\)
We start by substituting \(c = 9\) into the expression:
\[ \frac{4(9^2)}{6} - 25 \]

### Step 2: Calculate \(9^2\)
Next, we calculate \(9^2\):
\[ 9^2 = 81 \]
So, the expression now becomes:
\[ \frac{4(81)}{6} - 25 \]

### Step 3: Multiply \(4\) by \(81\)
Now, we multiply \(4\) by \(81\):
\[ 4 \times 81 = 324 \]
Thus, the expression is now:
\[ \frac{324}{6} - 25 \]

### Step 4: Divide \(324\) by \(6\)
Next, we divide \(324\) by \(6\):
\[ \frac{324}{6} = 54 \]
Now, the expression simplifies to:
\[ 54 - 25 \]

### Step 5: Subtract \(25\) from \(54\)
Finally, we subtract \(25\) from \(54\):
\[ 54 - 25 = 29 \]

### Final Answer
The value of the expression \((4c^2)/6 - 25\) when \(c = 9\) is:
\[ \boxed{29} \]