11/4x-11/3x=-11/6

Solution for 11/4x-11/3x=-11/6 equation:

11/4x-11/3x=-11/6

We move all terms to the left:

11/4x-11/3x-(-11/6)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We get rid of parentheses

11/4x-11/3x+11/6=0

We calculate fractions


396x^2/432x^2+1188x/432x^2+(-1584x)/432x^2=0

We multiply all the terms by the denominator


396x^2+1188x+(-1584x)=0

We get rid of parentheses

396x^2+1188x-1584x=0

We add all the numbers together, and all the variables

396x^2-396x=0

a = 396; b = -396; c = 0;
Δ = b2-4ac
Δ = -3962-4·396·0
Δ = 156816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{156816}=396$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-396)-396}{2*396}=\frac{0}{792}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-396)+396}{2*396}=\frac{792}{792}
=1
$