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