(110/x)(12x)=1880

Solution for (110/x)(12x)=1880 equation:

(110/x)(12x)=1880

We move all terms to the left:

(110/x)(12x)-(1880)=0


Domain of the equation: x)12x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+110/x)12x-1880=0

We multiply parentheses

1320x^2-1880=0

a = 1320; b = 0; c = -1880;
Δ = b2-4ac
Δ = 02-4·1320·(-1880)
Δ = 9926400
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:

$\sqrt{\Delta}=\sqrt{9926400}=\sqrt{6400*1551}=\sqrt{6400}*\sqrt{1551}=80\sqrt{1551}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{1551}}{2*1320}=\frac{0-80\sqrt{1551}}{2640}
=-\frac{80\sqrt{1551}}{2640}
=-\frac{\sqrt{1551}}{33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{1551}}{2*1320}=\frac{0+80\sqrt{1551}}{2640}
=\frac{80\sqrt{1551}}{2640}
=\frac{\sqrt{1551}}{33}
$