294=6c2

Solution for 294=6c2 equation:

294=6c^2

We move all terms to the left:

294-(6c^2)=0

a = -6; b = 0; c = +294;
Δ = b2-4ac
Δ = 02-4·(-6)·294
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*-6}=\frac{-84}{-12}
=+7
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*-6}=\frac{84}{-12}
=-7
$