5x^2 + 7x -6
Rewrite the middle term whose product equals first term x last term: 5 x -6 = -30 and whose sum equals the middle term.
Rewrite 7 as -3 + 10
5x^2 +(-3+10)x -6
Use distributive property:
5x^2 -3x + 10x -6
Group the first two terms and last two terms:
(5x^2 -3x) (10x -6)
Factor out greatest common factor of each group to get final answer:
(5x-3)(x+2)
