Solve for k.
k² + 49k = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
k =
Solve for k. k² + 49k = 0 Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k =
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To solve the equation ( k^2 + 49k = 0 ), we can factor out ( k ):
1. Factor the equation:
[
k(k + 49) = 0
]
2. Set each factor equal to zero:
[
k = 0 quad text{or} quad k + 49 = 0
]
3. Solve the second equation:
[
k + 49 = 0 implies k = -49
]
So, the solutions are:
[
k = 0, -49
]
In simplest form, the final answer is:
[
k = 0, -49
]