Let's use the quadratic formula to solve for x:
Starting with the general quadratic
the general solution using the quadratic equation is:
So lets solve  ( notice  ,  , and  )
 Plug in a=-3, b=-2, and c=-5
 Negate -2 to get 2
 Square -2 to get 4 (note: remember when you square -2, you must square the negative as well. This is because  .)
 Multiply  to get 
 Combine like terms in the radicand (everything under the square root)
 Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
 Multiply 2 and -3 to get -6
After simplifying, the quadratic has roots of
 or 
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