2x(360-2x)=360

Solution for 2x(360-2x)=360 equation:

2x(360-2x)=360

We move all terms to the left:

2x(360-2x)-(360)=0

We add all the numbers together, and all the variables

2x(-2x+360)-360=0

We multiply parentheses

-4x^2+720x-360=0

a = -4; b = 720; c = -360;
Δ = b2-4ac
Δ = 7202-4·(-4)·(-360)
Δ = 512640
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:

$\sqrt{\Delta}=\sqrt{512640}=\sqrt{576*890}=\sqrt{576}*\sqrt{890}=24\sqrt{890}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(720)-24\sqrt{890}}{2*-4}=\frac{-720-24\sqrt{890}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(720)+24\sqrt{890}}{2*-4}=\frac{-720+24\sqrt{890}}{-8}
$