Answer
$5x(x-1)(3x-2)$
Work Step by Step
$ 15x^{3}-25x^{2}+10x\qquad$...factor out the common term, $5x$.
$=5x(3x^{2}-5x+2)$
Two factors of $ac=+6$, whose sum is $b=-5$
are $-3$ and $-2$.
Rewrite $-5x$ as $-3x-2x$ and factor in pairs.
$5x(3x^{2}-5x+2)$
$=5x(3x^{2}-3x-2x+2)$
$=5x[3x(x-1)-2(x-1)]$
=$5x(x-1)(3x-2)$
