Question

$$y=6 { x }^{ 2 } -5x+1$$

Solve for x (complex solution)

$x=\frac{\sqrt{24y+1}+5}{12}$
$x=\frac{-\sqrt{24y+1}+5}{12}$

Solve for x

$x=\frac{\sqrt{24y+1}+5}{12}$
$x=\frac{-\sqrt{24y+1}+5}{12}\text{, }y\geq -\frac{1}{24}$

Solve for y

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