Answer
$x=\frac{1}{6}, -\frac{1}{2}$.
Work Step by Step
We solve by factoring as follows:
$$
12x^2+4x-1=0\Longrightarrow (6x-1)(2x+1)=0
$$
that is
$6x-1=0$ or $2x+1=0$
and so
$x=\frac{1}{6}, -\frac{1}{2}$.
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