20000000=1.1x(1000000-2700000/x)

Solution for 20000000=1.1x(1000000-2700000/x) equation:

20000000=1.1x(1000000-2700000/x)

We move all terms to the left:

20000000-(1.1x(1000000-2700000/x))=0


Domain of the equation: x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(1.1x(-2700000/x+1000000))+20000000=0

We multiply all the terms by the denominator


-(1.1x(-2700000+20000000*x+1000000))=0


We calculate terms in parentheses: -(1.1x(-2700000+20000000*x+1000000)), so:

1.1x(-2700000+20000000*x+1000000)

We add all the numbers together, and all the variables

1.1x(20000000x-1700000)

We multiply parentheses

20000000x^2-1700000x

Back to the equation:

-(20000000x^2-1700000x)


We get rid of parentheses

-20000000x^2+1700000x=0

a = -20000000; b = 1700000; c = 0;
Δ = b2-4ac
Δ = 17000002-4·(-20000000)·0
Δ = 2890000000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2890000000000}=1700000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1700000)-1700000}{2*-20000000}=\frac{-3400000}{-40000000}
=17/200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1700000)+1700000}{2*-20000000}=\frac{0}{-40000000}
=0
$