6x^2=336

Solution for 6x^2=336 equation:

6x^2=336

We move all terms to the left:

6x^2-(336)=0

a = 6; b = 0; c = -336;
Δ = b2-4ac
Δ = 02-4·6·(-336)
Δ = 8064
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8064}=\sqrt{576*14}=\sqrt{576}*\sqrt{14}=24\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{14}}{2*6}=\frac{0-24\sqrt{14}}{12}
=-\frac{24\sqrt{14}}{12}
=-2\sqrt{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{14}}{2*6}=\frac{0+24\sqrt{14}}{12}
=\frac{24\sqrt{14}}{12}
=2\sqrt{14}
$