Answer
$\frac{-3\pm \sqrt 3i}{3}$
See graph.
Work Step by Step
Step 1. $3x^2+6x+4=0 \longrightarrow x=\frac{-6\pm\sqrt {36-4(3)(4)}}{2(3)}=\frac{-3\pm \sqrt 3i}{3}$
Step 2. See graph.
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