432/36x=x

Solution for 432/36x=x equation:

432/36x=x

We move all terms to the left:

432/36x-(x)=0


Domain of the equation: 36x!=0

x!=0/36

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+432/36x=0

We multiply all the terms by the denominator


-1x*36x+432=0

Wy multiply elements

-36x^2+432=0

a = -36; b = 0; c = +432;
Δ = b2-4ac
Δ = 02-4·(-36)·432
Δ = 62208
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:

$\sqrt{\Delta}=\sqrt{62208}=\sqrt{20736*3}=\sqrt{20736}*\sqrt{3}=144\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{3}}{2*-36}=\frac{0-144\sqrt{3}}{-72}
=-\frac{144\sqrt{3}}{-72}
=-\frac{2\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{3}}{2*-36}=\frac{0+144\sqrt{3}}{-72}
=\frac{144\sqrt{3}}{-72}
=\frac{2\sqrt{3}}{-1}
$