6x2-1320=0

Solution for 6x2-1320=0 equation:

6x^2-1320=0

a = 6; b = 0; c = -1320;
Δ = b2-4ac
Δ = 02-4·6·(-1320)
Δ = 31680
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:

$\sqrt{\Delta}=\sqrt{31680}=\sqrt{576*55}=\sqrt{576}*\sqrt{55}=24\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{55}}{2*6}=\frac{0-24\sqrt{55}}{12}
=-\frac{24\sqrt{55}}{12}
=-2\sqrt{55}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{55}}{2*6}=\frac{0+24\sqrt{55}}{12}
=\frac{24\sqrt{55}}{12}
=2\sqrt{55}
$