If `p(x)=4x-6 and p(a)=0`, then a=

Options

A. `-6`
B. `-(3)/(2)`
C. `(3)/(2)`
D. `(2)/(3)`

Explanation

To solve the problem, we need to find the value of \( a \) such that \( p(a) = 0 \) given the function \( p(x) = 4x - 6 \).

### Step-by-Step Solution:

1. **Write down the function and the condition**:
We are given the function:
\[ p(x) = 4x - 6 \]
and the condition:
\[ p(a) = 0 \]

2. **Substitute \( a \) into the function**:
We need to find \( p(a) \):
\[ p(a) = 4a - 6 \]

3. **Set the equation to zero**:
Since we know that \( p(a) = 0 \), we can set up the equation:
\[ 4a - 6 = 0 \]

4. **Solve for \( a \)**:
To isolate \( a \), we first add 6 to both sides:
\[ 4a = 6 \]
Next, divide both sides by 4:
\[ a = \frac{6}{4} \]
Simplifying this gives:
\[ a = \frac{3}{2} \]

5. **Conclusion**:
Therefore, the value of \( a \) is:
\[ a = \frac{3}{2} \]

### Final Answer:
The value of \( a \) is \( \frac{3}{2} \).

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