(20x)(x+30)=5000

Solution for (20x)(x+30)=5000 equation:

(20x)(x+30)=5000

We move all terms to the left:

(20x)(x+30)-(5000)=0

We multiply parentheses

20x^2+600x-5000=0

a = 20; b = 600; c = -5000;
Δ = b2-4ac
Δ = 6002-4·20·(-5000)
Δ = 760000
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:

$\sqrt{\Delta}=\sqrt{760000}=\sqrt{40000*19}=\sqrt{40000}*\sqrt{19}=200\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(600)-200\sqrt{19}}{2*20}=\frac{-600-200\sqrt{19}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(600)+200\sqrt{19}}{2*20}=\frac{-600+200\sqrt{19}}{40}
$