You can 
put this solution on YOUR website! 
Please help factor my homework question. thanks! 
(2q+5)(3q-4)= 0
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That's already factored!
Now you use the zero-factor theorem to 
set each factor = 0
   2q+5 = 0
     -5  -5
  ----------
   2q   = -5
      q = -5/2 
   3q-4 = 0
      4   4
  ----------
   3q   = 4
      q = 4/3 
The solutions are -5/2 and 4/3
Edwin