Question

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

Solve for x (complex solution)

$x=\frac{\sqrt{8y+49}+3}{4}$
$x=\frac{-\sqrt{8y+49}+3}{4}$

Solve for x

$x=\frac{\sqrt{8y+49}+3}{4}$
$x=\frac{-\sqrt{8y+49}+3}{4}\text{, }y\geq -\frac{49}{8}$

Solve for y

$y=\left(2x-5\right)\left(x+1\right)$