I will presume that the expression is equal to zero.
Solve by factoring: 3x^{2} + 17x  46 = 0
Factor: (3x + 23) (x  2) = 0
Set equal to zero: 3x + 23 = 0 and x  2 = 0
Solve: x = 23/3, 2
Note, check by plugging the two answers into the original equation. The 23/3 answer is a pain to check, but it did check out in the end. It's good advanced arithmatic practice!
10/22/2013

James H.
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