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!
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