(215000*x)-(10000*x*x)=10000

Solution for (215000*x)-(10000*x*x)=10000 equation:

(215000x)-(10000x*x)=10000

We move all terms to the left:

(215000x)-(10000x*x)-(10000)=0

We add all the numbers together, and all the variables

215000x-(+10000x*x)-10000=0

We get rid of parentheses

215000x-10000x*x-10000=0

Wy multiply elements

-10000x^2+215000x-10000=0

a = -10000; b = 215000; c = -10000;
Δ = b2-4ac
Δ = 2150002-4·(-10000)·(-10000)
Δ = 45825000000
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:

$\sqrt{\Delta}=\sqrt{45825000000}=\sqrt{25000000*1833}=\sqrt{25000000}*\sqrt{1833}=5000\sqrt{1833}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(215000)-5000\sqrt{1833}}{2*-10000}=\frac{-215000-5000\sqrt{1833}}{-20000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(215000)+5000\sqrt{1833}}{2*-10000}=\frac{-215000+5000\sqrt{1833}}{-20000}
$