x/3x=11x

Solution for x/3x=11x equation:

x/3x=11x

We move all terms to the left:

x/3x-(11x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

-11x+x/3x=0

We multiply all the terms by the denominator


-11x*3x+x=0

We add all the numbers together, and all the variables

x-11x*3x=0

Wy multiply elements

-33x^2+x=0

a = -33; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-33)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-33}=\frac{-2}{-66}
=1/33
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-33}=\frac{0}{-66}
=0
$