11/12x=11x

Solution for 11/12x=11x equation:

11/12x=11x

We move all terms to the left:

11/12x-(11x)=0


Domain of the equation: 12x!=0

x!=0/12

x!=0

x∈R


We add all the numbers together, and all the variables

-11x+11/12x=0

We multiply all the terms by the denominator


-11x*12x+11=0

Wy multiply elements

-132x^2+11=0

a = -132; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-132)·11
Δ = 5808
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:

$\sqrt{\Delta}=\sqrt{5808}=\sqrt{1936*3}=\sqrt{1936}*\sqrt{3}=44\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{3}}{2*-132}=\frac{0-44\sqrt{3}}{-264}
=-\frac{44\sqrt{3}}{-264}
=-\frac{\sqrt{3}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{3}}{2*-132}=\frac{0+44\sqrt{3}}{-264}
=\frac{44\sqrt{3}}{-264}
=\frac{\sqrt{3}}{-6}
$