Answer
(2d+1)($3d^{2}$-5)
Work Step by Step
$6d^{3}$+$3d^{2}$-10d-5.Factor out:
You have four terms so group the first two and last two terms:
($6d^{3}$+$3d^{2}$)-(10d-5.)
The GCF for the first group is $3d^{2}$ and for the second group it is -5:
$3d^{2}$(2d+1)-5(2d+1)
You have 2d+1 in common so group it by itself:
(2d+1)($3d^{2}$-5)