X^2+475x=75000

Solution for X^2+475x=75000 equation:

X^2+475X=75000

We move all terms to the left:

X^2+475X-(75000)=0

a = 1; b = 475; c = -75000;
Δ = b2-4ac
Δ = 4752-4·1·(-75000)
Δ = 525625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{525625}=725$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(475)-725}{2*1}=\frac{-1200}{2}
=-600
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(475)+725}{2*1}=\frac{250}{2}
=125
$