(27,000-720x)(x)=R(x)

Solution for (27,000-720x)(x)=R(x) equation:

(27.000-720x)(x)=(x)

We move all terms to the left:

(27.000-720x)(x)-((x))=0

determiningTheFunctionDomain
(27.000-720x)x-x=0

We add all the numbers together, and all the variables

(-720x+27)x-x=0

We add all the numbers together, and all the variables

-1x+(-720x+27)x=0

We multiply parentheses

-720x^2-1x+27x=0

We add all the numbers together, and all the variables

-720x^2+26x=0

a = -720; b = 26; c = 0;
Δ = b2-4ac
Δ = 262-4·(-720)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-26}{2*-720}=\frac{-52}{-1440}
=13/360
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+26}{2*-720}=\frac{0}{-1440}
=0
$