520=6x*x

Solution for 520=6x*x equation:

520=6x*x

We move all terms to the left:

520-(6x*x)=0

We add all the numbers together, and all the variables

-(+6x*x)+520=0

We get rid of parentheses

-6x*x+520=0

Wy multiply elements

-6x^2+520=0

a = -6; b = 0; c = +520;
Δ = b2-4ac
Δ = 02-4·(-6)·520
Δ = 12480
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:

$\sqrt{\Delta}=\sqrt{12480}=\sqrt{64*195}=\sqrt{64}*\sqrt{195}=8\sqrt{195}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{195}}{2*-6}=\frac{0-8\sqrt{195}}{-12}
=-\frac{8\sqrt{195}}{-12}
=-\frac{2\sqrt{195}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{195}}{2*-6}=\frac{0+8\sqrt{195}}{-12}
=\frac{8\sqrt{195}}{-12}
=\frac{2\sqrt{195}}{-3}
$