Try the discriminant.
b^2 - 4ac
(-3)^2 - 4(2)(16)
9 - 128 < 0
so, no real roots here
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9x squared plus 16 = 0 factored is plus and minus 4/3 i.
Solve using the quadratic formula
(b-4) squared
16
Two plus 3 minus 2 times 1 squared plus 4 times 16 squared minus 4 times 2 is equal to 1,019.