Answer:
-(x + 1)(7x - 12)
Explanation:
Step 1: Factor out a -1
-1(7x² - 5x - 12)
Step 2:
Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.
So, factor.
-1(x + 1)(7x - 12)
To double check, just expand/FOIL everything and see if it is the same as the original expression.