college algebra
posted by Jo .
Solve the following equation in the complex number system. Please show all of your work.
2x^53x^432x+48=0

solving quintics is hard, so look for easy roots with synthetic division
2x^53x^432x+48
(x+2)(x2)(2x3)(x^2+4)
= (x+2)(x2)(2x3)(x2i)(x+2i) 
The manager of a coffee shop has one type of coffee that sells for $5 per pound and another type that sells for
$11 per pound. The manager wishes to mix 60 pounds of the $11 coffee to get a mixture that will sell for $9 per
pound. How many pounds of the $5 coffee should be used?