6x/20x=x

Solution for 6x/20x=x equation:

6x/20x=x

We move all terms to the left:

6x/20x-(x)=0


Domain of the equation: 20x!=0

x!=0/20

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+6x/20x=0

We multiply all the terms by the denominator


-1x*20x+6x=0

We add all the numbers together, and all the variables

6x-1x*20x=0

Wy multiply elements

-20x^2+6x=0

a = -20; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-20)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-20}=\frac{-12}{-40}
=3/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-20}=\frac{0}{-40}
=0
$