The equation

$5xyz=2x^2+y^2+2z^2+6$

implicitly defines $z$ as a function of $x$ and $y$ in the neighborhood of the point where $x=1,y=2$ and $z=2.$ Find $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}$ and $\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}}$ at this point.

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{x}}=$

$\frac{\text{d}\text{e}\text{l}\text{z}}{\text{d}\text{e}\text{l}\text{y}}=$

Give the exact values.