Simplify the product using foil (2x-7)(5x+2) i'mma be honest i don't have an answer last time i checked foil is what they give you to make a swan out of your leftovers.

10x²-31x-14

Explanation:
FOIL stands for "First Outer Inner Last". That way, distribute the "2x" in the first parentheses to both values in the second parentheses first, then do the same for "-7". Afterwards, add all like values and you get your answer. 
(2x-7)(5x+2)
2x(5x+2)+[-7(5x+2)]
10x²+4x-35x-14
10x²-31x-14

Main idea on left, details on right