If `x=3 and y=4`, find the value of `4x^(2)+5x+3`

Answer

To find the value of the expression \( 4x^2 + 5x + 3 \) given that \( x = 3 \), we will follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 3 \) into the expression \( 4x^2 + 5x + 3 \).

\[ 4(3)^2 + 5(3) + 3 \]

### Step 2: Calculate \( 3^2 \)
Next, we calculate \( 3^2 \).

\[ 3^2 = 9 \]

### Step 3: Multiply by 4
Now, we multiply \( 9 \) by \( 4 \).

\[ 4 \times 9 = 36 \]

### Step 4: Calculate \( 5 \times 3 \)
Next, we calculate \( 5 \times 3 \).

\[ 5 \times 3 = 15 \]

### Step 5: Add all the terms together
Now we add all the calculated values together: \( 36 \), \( 15 \), and \( 3 \).

\[ 36 + 15 + 3 \]

### Step 6: Perform the addition
First, we add \( 36 + 15 \).

\[ 36 + 15 = 51 \]

Then, we add \( 51 + 3 \).

\[ 51 + 3 = 54 \]

### Final Answer
Thus, the value of \( 4x^2 + 5x + 3 \) when \( x = 3 \) is

\[ \boxed{54} \]

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