A polynomial has been factored below, but some constants are missing.

$\displaystyle{2}{{x}}^{{3}}-{2}{{x}}^{{2}}-{24}{x}={a}{x}{\left({x}+{b}\right)}{\left({x}+{c}\right)}\usepackage{cmbright}\Huge\$

What are the missing values of a, b, and c?