For what real number k does the product (25 + ki)(3+2i) equal a real number?

I tried dividing by i. So I got: ((25/i)+k)((3/i+2) which would equal (-25i+k)*(-3i+2)
which means k would=25i. I don't think that's right but can you guys check it?

3 answers

when you FOIL the binomials, the i terms have to cancel

(25 * 2i) + (3 * ki) = 0
Thank you!
meow