180/9x=20x

Solution for 180/9x=20x equation:

180/9x=20x

We move all terms to the left:

180/9x-(20x)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R


We add all the numbers together, and all the variables

-20x+180/9x=0

We multiply all the terms by the denominator


-20x*9x+180=0

Wy multiply elements

-180x^2+180=0

a = -180; b = 0; c = +180;
Δ = b2-4ac
Δ = 02-4·(-180)·180
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-360}{2*-180}=\frac{-360}{-360}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+360}{2*-180}=\frac{360}{-360}
=-1
$