200x*300x=10000

Solution for 200x*300x=10000 equation:

200x*300x=10000

We move all terms to the left:

200x*300x-(10000)=0

Wy multiply elements

60000x^2-10000=0

a = 60000; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·60000·(-10000)
Δ = 2400000000
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:

$\sqrt{\Delta}=\sqrt{2400000000}=\sqrt{400000000*6}=\sqrt{400000000}*\sqrt{6}=20000\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20000\sqrt{6}}{2*60000}=\frac{0-20000\sqrt{6}}{120000}
=-\frac{20000\sqrt{6}}{120000}
=-\frac{\sqrt{6}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20000\sqrt{6}}{2*60000}=\frac{0+20000\sqrt{6}}{120000}
=\frac{20000\sqrt{6}}{120000}
=\frac{\sqrt{6}}{6}
$