What two numbers multiply together that equal 80 and add up to 14

There is no answer to your question ...

To solve this, lets first find all the pairs of numbers that, when multiplied equal 80.

(1,80) & (-1,-80) & (2,40) & (-2,-40) & (5,16) & (-5,-16) & (8,10) & (-8,10)

all of these pairs, when multiplied equal 80. None of them add up to 14. There is no answer to your question.