X*2x=200000

Solution for X*2x=200000 equation:

X*2X=200000

We move all terms to the left:

X*2X-(200000)=0

Wy multiply elements

2X^2-200000=0

a = 2; b = 0; c = -200000;
Δ = b2-4ac
Δ = 02-4·2·(-200000)
Δ = 1600000
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:

$\sqrt{\Delta}=\sqrt{1600000}=\sqrt{160000*10}=\sqrt{160000}*\sqrt{10}=400\sqrt{10}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-400\sqrt{10}}{2*2}=\frac{0-400\sqrt{10}}{4}
=-\frac{400\sqrt{10}}{4}
=-100\sqrt{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+400\sqrt{10}}{2*2}=\frac{0+400\sqrt{10}}{4}
=\frac{400\sqrt{10}}{4}
=100\sqrt{10}
$