Solve for m.
m² + 16m = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
m =
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To solve the equation ( m² + 16m = 0 ), we can factor out the common term ( m ):
1. Start by factoring the left side:
[
m(m + 16) = 0
]
2. Set each factor equal to zero:
[
m = 0
]
[
m + 16 = 0 Rightarrow m = -16
]
The solutions are ( m = 0 ) and ( m = -16 ).
So, the final answer is:
( m = 0, -16 )