360x-2x^2=x

Solution for 360x-2x^2=x equation:

360x-2x^2=x

We move all terms to the left:

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

We add all the numbers together, and all the variables

-2x^2+359x=0

a = -2; b = 359; c = 0;
Δ = b2-4ac
Δ = 3592-4·(-2)·0
Δ = 128881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{128881}=359$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(359)-359}{2*-2}=\frac{-718}{-4}
=179+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(359)+359}{2*-2}=\frac{0}{-4}
=0
$