$$y=3x^{2}+5x-2$$
$x=\frac{\sqrt{12y+49}-5}{6}$
$x=\frac{-\sqrt{12y+49}-5}{6}$
$x=\frac{\sqrt{12y+49}-5}{6}$
$x=\frac{-\sqrt{12y+49}-5}{6}\text{, }y\geq -\frac{49}{12}$
$y=\left(3x-1\right)\left(x+2\right)$