36x=144/4x

Solution for 36x=144/4x equation:

36x=144/4x

We move all terms to the left:

36x-(144/4x)=0


Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

36x-(+144/4x)=0

We get rid of parentheses

36x-144/4x=0

We multiply all the terms by the denominator


36x*4x-144=0

Wy multiply elements

144x^2-144=0

a = 144; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·144·(-144)
Δ = 82944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{82944}=288$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*144}=\frac{-288}{288}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*144}=\frac{288}{288}
=1
$