Bot GPT 4-o mini To solve the quadratic equation \( 5x^2 + 75x = 0 \) by factoring out the greatest common factor (GCF), we first identify the GCF of the terms.
The GCF of \( 5x^2 \) and \( 75x \) is \( 5x \). We can factor this out:
\[ 5x(x + 15) = 0 \]
Next, we set each factor equal to zero:
- \( 5x = 0 \)
- \( x + 15 = 0 \)
Solving these equations gives us:
- From \( 5x = 0 \), we have \( x = 0 \).
- From \( x + 15 = 0 \), we have \( x = -15 \).
Thus, the solutions are \( x = 0 \) and \( x = -15 \).
The correct response is:
The solutions are x=−15 and x=0.
1 answer