6-6k^2=-378

Solution for 6-6k^2=-378 equation:

6-6k^2=-378

We move all terms to the left:

6-6k^2-(-378)=0

We add all the numbers together, and all the variables

-6k^2+384=0

a = -6; b = 0; c = +384;
Δ = b2-4ac
Δ = 02-4·(-6)·384
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-6}=\frac{-96}{-12}
=+8
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-6}=\frac{96}{-12}
=-8
$