130/x=12x

Solution for 130/x=12x equation:

130/x=12x

We move all terms to the left:

130/x-(12x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-12x+130/x=0

We multiply all the terms by the denominator


-12x*x+130=0

Wy multiply elements

-12x^2+130=0

a = -12; b = 0; c = +130;
Δ = b2-4ac
Δ = 02-4·(-12)·130
Δ = 6240
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:

$\sqrt{\Delta}=\sqrt{6240}=\sqrt{16*390}=\sqrt{16}*\sqrt{390}=4\sqrt{390}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{390}}{2*-12}=\frac{0-4\sqrt{390}}{-24}
=-\frac{4\sqrt{390}}{-24}
=-\frac{\sqrt{390}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{390}}{2*-12}=\frac{0+4\sqrt{390}}{-24}
=\frac{4\sqrt{390}}{-24}
=\frac{\sqrt{390}}{-6}
$