16-6d*d=-2

Solution for 16-6d*d=-2 equation:

16-6d*d=-2

We move all terms to the left:

16-6d*d-(-2)=0

We add all the numbers together, and all the variables

-6d*d+18=0

Wy multiply elements

-6d^2+18=0

a = -6; b = 0; c = +18;
Δ = b2-4ac
Δ = 02-4·(-6)·18
Δ = 432
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{432}=\sqrt{144*3}=\sqrt{144}*\sqrt{3}=12\sqrt{3}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{3}}{2*-6}=\frac{0-12\sqrt{3}}{-12}
=-\frac{12\sqrt{3}}{-12}
=-\frac{\sqrt{3}}{-1}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{3}}{2*-6}=\frac{0+12\sqrt{3}}{-12}
=\frac{12\sqrt{3}}{-12}
=\frac{\sqrt{3}}{-1}
$