Identify the conic section $$$5050000000 = \frac{139656 x \left(1655 - \frac{x}{2}\right)}{5}$$$

Identify and find the properties of the conic section $$$5050000000 = \frac{139656 x \left(1655 - \frac{x}{2}\right)}{5}$$$.

The general equation of a conic section is $$$A x^{2} + B x y + C y^{2} + D x + E y + F = 0$$$.

In our case, $$$A = \frac{69828}{5}$$$, $$$B = 0$$$, $$$C = 0$$$, $$$D = -46226136$$$, $$$E = 0$$$, $$$F = 5050000000$$$.

The discriminant of the conic section is $$$\Delta = 4 A C F - A E^{2} - B^{2} F + B D E - C D^{2} = 0$$$.

Next, $$$B^{2} - 4 A C = 0$$$.

Since $$$\Delta = 0$$$, this is the degenerated conic section.

Since $$$B^{2} - 4 A C = 0$$$, the equation represents two parallel lines.

$$$5050000000 = \frac{139656 x \left(1655 - \frac{x}{2}\right)}{5}$$$A represents a pair of the lines $$$x = 1655 - \frac{5 \sqrt{54783510441}}{759}$$$, $$$x = \frac{5 \left(\sqrt{54783510441} + 251229\right)}{759}$$$A.

General form: $$$\frac{69828 x^{2}}{5} - 46226136 x + 5050000000 = 0$$$A.

Factored form: $$$\left(759 x - 1256145 - 5 \sqrt{54783510441}\right) \left(759 x - 1256145 + 5 \sqrt{54783510441}\right) = 0.$$$A

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