(1732500/x)*(1.066666666667x)=1760000

Solution for (1732500/x)*(1.066666666667x)=1760000 equation:

(1732500/x)(1.066666666667x)=1760000

We move all terms to the left:

(1732500/x)(1.066666666667x)-(1760000)=0


Domain of the equation: x)(1.066666666667x)!=0

x∈R


We add all the numbers together, and all the variables

(+1732500/x)(+1.066666666667x)-1760000=0

We multiply parentheses ..

(+1732500x^2)-1760000=0

We get rid of parentheses

1732500x^2-1760000=0

a = 1732500; b = 0; c = -1760000;
Δ = b2-4ac
Δ = 02-4·1732500·(-1760000)
Δ = 12196800000000
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:

$\sqrt{\Delta}=\sqrt{12196800000000}=\sqrt{1742400000000*7}=\sqrt{1742400000000}*\sqrt{7}=1320000\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1320000\sqrt{7}}{2*1732500}=\frac{0-1320000\sqrt{7}}{3465000}
=-\frac{1320000\sqrt{7}}{3465000}
=-\frac{8\sqrt{7}}{21}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1320000\sqrt{7}}{2*1732500}=\frac{0+1320000\sqrt{7}}{3465000}
=\frac{1320000\sqrt{7}}{3465000}
=\frac{8\sqrt{7}}{21}
$