Question
Solve using factoring
B^2 + 5b = 0
B^2 + 5b = 0
Answers
GPT-4o mini
To solve the equation \( b^2 + 5b = 0 \) using factoring, we can first factor out the common term \( b \):
\[
b(b + 5) = 0
\]
Now, we can set each factor equal to zero:
1. \( b = 0 \)
2. \( b + 5 = 0 \)
From the second equation, we can solve for \( b \):
\[
b + 5 = 0 \implies b = -5
\]
Thus, the solutions to the equation \( b^2 + 5b = 0 \) are:
\[
b = 0 \quad \text{and} \quad b = -5
\]
\[
b(b + 5) = 0
\]
Now, we can set each factor equal to zero:
1. \( b = 0 \)
2. \( b + 5 = 0 \)
From the second equation, we can solve for \( b \):
\[
b + 5 = 0 \implies b = -5
\]
Thus, the solutions to the equation \( b^2 + 5b = 0 \) are:
\[
b = 0 \quad \text{and} \quad b = -5
\]