Question
Solve the equation \( m^{2}+8 m=0 \) by factoring. \( m=\square \)
Ask by Rojas Frazier. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( m = 0 \) or \( m = -8 \)
Solution
1. Factor the equation:
\[
m^2 + 8m = m(m + 8) = 0
\]
2. Apply the Zero Product Property:
\[
m = 0 \quad \text{or} \quad m + 8 = 0
\]
3. Solve the second equation:
\[
m + 8 = 0 \quad \Rightarrow \quad m = -8
\]
Thus, the solutions are:
\[
m = 0 \quad \text{or} \quad m = -8
\]
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Simplify this solution The Deep Dive
To solve the equation \( m^{2}+8m=0 \) by factoring, first factor out the common term \( m \): \[ m(m+8) = 0 \] Now, set each factor equal to zero: 1. \( m = 0 \) 2. \( m + 8 = 0 \) which gives \( m = -8 \) So, the solutions to the equation are \( m = 0 \) and \( m = -8 \). \( m = 0, -8 \)
