SOLUTION: This is from a General Factoring Section... Find Solutions? 3t^2+11t-20=0

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Question 171229: This is from a General Factoring Section...
Find Solutions?
3t^2+11t-20=0
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
3t%5E2%2B11t-20=0%29
:
lets start with looking at the first ans last terms(3t__?)(t___?)
:
think of all the combos of numbers that multiplied together would equal -20
1,20
2,10
4,5
:now try those in different position to see if you can come up with the middle term.
:
highlight%28%283t-4%29%28t%2B5%29%29
:
so 3t-4=0 and t+5=0
:
system%28t=4%2F3%2Ct=-5%29