Question 190389
First re-arrange the quadratic into standard form
{{{432-102m+6m^2=6m^2-102+432}}}
Next extracting the common factor 6 from the quadratic.
{{{6m^2-102+432=6(m^2-17m+72)}}}
Finally factor {{{m^2-17m+72}}}

The whole process will look like this:
{{{432-102m+6m^2}}}
={{{6m^2-102+432}}}
={{{6(m^2-17m+72)}}}
={{{6(m-14)(m-3)}}}