2x(x+10)=200

Solution for 2x(x+10)=200 equation:

2x(x+10)=200

We move all terms to the left:

2x(x+10)-(200)=0

We multiply parentheses

2x^2+20x-200=0

a = 2; b = 20; c = -200;
Δ = b2-4ac
Δ = 202-4·2·(-200)
Δ = 2000
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:

$\sqrt{\Delta}=\sqrt{2000}=\sqrt{400*5}=\sqrt{400}*\sqrt{5}=20\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20\sqrt{5}}{2*2}=\frac{-20-20\sqrt{5}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20\sqrt{5}}{2*2}=\frac{-20+20\sqrt{5}}{4}
$