10x*20x=5000

Solution for 10x*20x=5000 equation:

10x*20x=5000

We move all terms to the left:

10x*20x-(5000)=0

Wy multiply elements

200x^2-5000=0

a = 200; b = 0; c = -5000;
Δ = b2-4ac
Δ = 02-4·200·(-5000)
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*200}=\frac{-2000}{400}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*200}=\frac{2000}{400}
=5
$