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 =

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

]