x2+200x=166,400.

Solution for x2+200x=166,400. equation:

x2+200x=166.400.

We move all terms to the left:

x2+200x-(166.400.)=0

We add all the numbers together, and all the variables

x2+200x-0=0

We add all the numbers together, and all the variables

x^2+200x=0

a = 1; b = 200; c = 0;
Δ = b2-4ac
Δ = 2002-4·1·0
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(200)-200}{2*1}=\frac{-400}{2}
=-200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+200}{2*1}=\frac{0}{2}
=0
$