50000x^2+50000x+50000=51750

Solution for 50000x^2+50000x+50000=51750 equation:

50000x^2+50000x+50000=51750

We move all terms to the left:

50000x^2+50000x+50000-(51750)=0

We add all the numbers together, and all the variables

50000x^2+50000x-1750=0

a = 50000; b = 50000; c = -1750;
Δ = b2-4ac
Δ = 500002-4·50000·(-1750)
Δ = 2850000000
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:

$\sqrt{\Delta}=\sqrt{2850000000}=\sqrt{25000000*114}=\sqrt{25000000}*\sqrt{114}=5000\sqrt{114}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50000)-5000\sqrt{114}}{2*50000}=\frac{-50000-5000\sqrt{114}}{100000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50000)+5000\sqrt{114}}{2*50000}=\frac{-50000+5000\sqrt{114}}{100000}
$