Certainly! To solve the quadratic equation \( x(x + 3) = 0 \) numerically, we will find the values of \( x \) that satisfy this equation.
1. The given quadratic equation is \( x(x + 3) = 0 \).
2. To find the solutions to this equation, we set each factor equal to zero.
- For the first factor \( x = 0 \):
[tex]\[
x = 0
\][/tex]
- For the second factor \( x + 3 = 0 \):
[tex]\[
x + 3 = 0 \implies x = -3
\][/tex]
3. Therefore, the solutions to the quadratic equation \( x(x + 3) = 0 \) are \( x = 0 \) and \( x = -3 \).
4. Now we need to select the best answer from the given choices:
a. \( x = -1 \) or \( x = 3 \)
c. \( x = 0 \) or \( x = -3 \)
b. \( x = 0 \) or \( x = -5 \)
d. \( x = 1 \) or \( x = -1 \)
The correct answer is [tex]\(\boxed{c}\)[/tex] [tex]\( x = 0 \)[/tex] or [tex]\( x = -3 \)[/tex].
