6x2=960

Solution for 6x2=960 equation:

6x^2=960

We move all terms to the left:

6x^2-(960)=0

a = 6; b = 0; c = -960;
Δ = b2-4ac
Δ = 02-4·6·(-960)
Δ = 23040
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:

$\sqrt{\Delta}=\sqrt{23040}=\sqrt{2304*10}=\sqrt{2304}*\sqrt{10}=48\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{10}}{2*6}=\frac{0-48\sqrt{10}}{12}
=-\frac{48\sqrt{10}}{12}
=-4\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{10}}{2*6}=\frac{0+48\sqrt{10}}{12}
=\frac{48\sqrt{10}}{12}
=4\sqrt{10}
$