500=2000r(2)

Solution for 500=2000r(2) equation:

500=2000r(2)

We move all terms to the left:

500-(2000r(2))=0

determiningTheFunctionDomain
-2000r2+500=0

We add all the numbers together, and all the variables

-2000r^2+500=0

a = -2000; b = 0; c = +500;
Δ = b2-4ac
Δ = 02-4·(-2000)·500
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*-2000}=\frac{-2000}{-4000}
=1/2
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*-2000}=\frac{2000}{-4000}
=-1/2
$