Question

$$y=3x^{2}+5x-2$$

Solve for x (complex solution)

$x=\frac{\sqrt{12y+49}-5}{6}$
$x=\frac{-\sqrt{12y+49}-5}{6}$

Solve for x

$x=\frac{\sqrt{12y+49}-5}{6}$
$x=\frac{-\sqrt{12y+49}-5}{6}\text{, }y\geq -\frac{49}{12}$

Solve for y

$y=\left(3x-1\right)\left(x+2\right)$