10000x^2+20000x+10000=30000

Solution for 10000x^2+20000x+10000=30000 equation:

10000x^2+20000x+10000=30000

We move all terms to the left:

10000x^2+20000x+10000-(30000)=0

We add all the numbers together, and all the variables

10000x^2+20000x-20000=0

a = 10000; b = 20000; c = -20000;
Δ = b2-4ac
Δ = 200002-4·10000·(-20000)
Δ = 1200000000
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:

$\sqrt{\Delta}=\sqrt{1200000000}=\sqrt{400000000*3}=\sqrt{400000000}*\sqrt{3}=20000\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20000)-20000\sqrt{3}}{2*10000}=\frac{-20000-20000\sqrt{3}}{20000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20000)+20000\sqrt{3}}{2*10000}=\frac{-20000+20000\sqrt{3}}{20000}
$