x^2+20x=192

Solution for x^2+20x=192 equation:

x^2+20x=192

We move all terms to the left:

x^2+20x-(192)=0

a = 1; b = 20; c = -192;
Δ = b2-4ac
Δ = 202-4·1·(-192)
Δ = 1168
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:

$\sqrt{\Delta}=\sqrt{1168}=\sqrt{16*73}=\sqrt{16}*\sqrt{73}=4\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4\sqrt{73}}{2*1}=\frac{-20-4\sqrt{73}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4\sqrt{73}}{2*1}=\frac{-20+4\sqrt{73}}{2}
$