200x*300x=61000000

Solution for 200x*300x=61000000 equation:

200x*300x=61000000

We move all terms to the left:

200x*300x-(61000000)=0

Wy multiply elements

60000x^2-61000000=0

a = 60000; b = 0; c = -61000000;
Δ = b2-4ac
Δ = 02-4·60000·(-61000000)
Δ = 14640000000000
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:

$\sqrt{\Delta}=\sqrt{14640000000000}=\sqrt{40000000000*366}=\sqrt{40000000000}*\sqrt{366}=200000\sqrt{366}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200000\sqrt{366}}{2*60000}=\frac{0-200000\sqrt{366}}{120000}
=-\frac{200000\sqrt{366}}{120000}
=-\frac{5\sqrt{366}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200000\sqrt{366}}{2*60000}=\frac{0+200000\sqrt{366}}{120000}
=\frac{200000\sqrt{366}}{120000}
=\frac{5\sqrt{366}}{3}
$