Find the value of the expression for the given value of x.
`5x^(2)+3x-2`, when x= 2.

Answer

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

### Step 1: Substitute the value of \(x\)
We start by substituting \(x\) with \(2\) in the expression \(5x^2 + 3x - 2\).

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

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

\[ 2^2 = 4 \]

### Step 3: Multiply by 5
Now we multiply \(4\) by \(5\):

\[ 5 \times 4 = 20 \]

### Step 4: Calculate \(3 \times 2\)
Next, we calculate \(3 \times 2\):

\[ 3 \times 2 = 6 \]

### Step 5: Combine the results
Now we can combine all parts of the expression:

\[ 20 + 6 - 2 \]

### Step 6: Perform the addition and subtraction
First, add \(20\) and \(6\):

\[ 20 + 6 = 26 \]

Then subtract \(2\):

\[ 26 - 2 = 24 \]

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

\[ \boxed{24} \]

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