Answer
(3x-4)(5x+2)
Work Step by Step
You are given $15x^{2}$-14x-8. Factor it out:
$15x^{2}$-20x+6x-8 -break out the middle value-
($15x^{2}$-20x)+(6x-8) -group the first two and last two terms-
5x(3x-4)+2(3x-4) -Find the GCF of each grouping's-
(3x-4)(5x+2) -factor out the common term-
=(3x-4)(5x+2)