Question

Value Substituted Evaluate: Step 1 Step 2: True or False Statement?
(2x−7)(x+9)=0
original question
0 (2(0)−7)((0+9)=0
(−7)(9)=0
−63=0
false
3
-9
9

Answer 1

whats the evaluate?

Answer 2

To evaluate the equation \((2x - 7)(x + 9) = 0\) for the values 0, 3, -9, and 9, you'll need to substitute each value of \(x\) into the expression step by step.

Here's how it looks for each value:

1. **Substituting \(x = 0\)**:
- **Step 1**: Substitute \(0\) into the equation:
\[
(2(0) - 7)(0 + 9) = (0 - 7)(9) = (-7)(9)
\]
- **Step 2**: Evaluate:
\[
-63 \neq 0
\]
- **True or False Statement**: False

2. **Substituting \(x = 3\)**:
- **Step 1**: Substitute \(3\) into the equation:
\[
(2(3) - 7)(3 + 9) = (6 - 7)(12) = (-1)(12)
\]
- **Step 2**: Evaluate:
\[
-12 \neq 0
\]
- **True or False Statement**: False

3. **Substituting \(x = -9\)**:
- **Step 1**: Substitute \(-9\) into the equation:
\[
(2(-9) - 7)(-9 + 9) = (-18 - 7)(0) = (-25)(0)
\]
- **Step 2**: Evaluate:
\[
0 = 0
\]
- **True or False Statement**: True

4. **Substituting \(x = 9\)**:
- **Step 1**: Substitute \(9\) into the equation:
\[
(2(9) - 7)(9 + 9) = (18 - 7)(18) = (11)(18)
\]
- **Step 2**: Evaluate:
\[
198 \neq 0
\]
- **True or False Statement**: False

Now let's summarize the results:

- For **\(x = 0\)**: False
- For **\(x = 3\)**: False
- For **\(x = -9\)**: True
- For **\(x = 9\)**: False