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 =
Solve for m.m² + 16m = 0Write 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 the expression. Here are the steps:
1. Factor out the common term: We can factor out an ( m ):
[
m(m + 16) = 0
]
2. Set each factor to zero:
This gives us two equations to solve:
[
m = 0
]
and
[
m + 16 = 0
]
3. Solve the second equation:
[
m + 16 = 0 implies m = -16
]
4. Combine the solutions: The solutions are ( m = 0 ) and ( m = -16 ).
So, the final answer is:
m = 0, -16
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