40000=x2+250x

Solution for 40000=x2+250x equation:

40000=x2+250x

We move all terms to the left:

40000-(x2+250x)=0

We add all the numbers together, and all the variables

-(+x^2+250x)+40000=0

We get rid of parentheses

-x^2-250x+40000=0

We add all the numbers together, and all the variables

-1x^2-250x+40000=0

a = -1; b = -250; c = +40000;
Δ = b2-4ac
Δ = -2502-4·(-1)·40000
Δ = 222500
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:

$\sqrt{\Delta}=\sqrt{222500}=\sqrt{2500*89}=\sqrt{2500}*\sqrt{89}=50\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-50\sqrt{89}}{2*-1}=\frac{250-50\sqrt{89}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+50\sqrt{89}}{2*-1}=\frac{250+50\sqrt{89}}{-2}
$