720/900x=12x

Solution for 720/900x=12x equation:

720/900x=12x

We move all terms to the left:

720/900x-(12x)=0


Domain of the equation: 900x!=0

x!=0/900

x!=0

x∈R


We add all the numbers together, and all the variables

-12x+720/900x=0

We multiply all the terms by the denominator


-12x*900x+720=0

Wy multiply elements

-10800x^2+720=0

a = -10800; b = 0; c = +720;
Δ = b2-4ac
Δ = 02-4·(-10800)·720
Δ = 31104000
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:

$\sqrt{\Delta}=\sqrt{31104000}=\sqrt{2073600*15}=\sqrt{2073600}*\sqrt{15}=1440\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1440\sqrt{15}}{2*-10800}=\frac{0-1440\sqrt{15}}{-21600}
=-\frac{1440\sqrt{15}}{-21600}
=-\frac{\sqrt{15}}{-15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1440\sqrt{15}}{2*-10800}=\frac{0+1440\sqrt{15}}{-21600}
=\frac{1440\sqrt{15}}{-21600}
=\frac{\sqrt{15}}{-15}
$