20x(x+50)=37500

Solution for 20x(x+50)=37500 equation:

20x(x+50)=37500

We move all terms to the left:

20x(x+50)-(37500)=0

We multiply parentheses

20x^2+1000x-37500=0

a = 20; b = 1000; c = -37500;
Δ = b2-4ac
Δ = 10002-4·20·(-37500)
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{-(1000)-2000}{2*20}=\frac{-3000}{40}
=-75
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1000)+2000}{2*20}=\frac{1000}{40}
=25
$