-11/3x+1-2/12=-2-25/6x

Solution for -11/3x+1-2/12=-2-25/6x equation:

-11/3x+1-2/12=-2-25/6x

We move all terms to the left:

-11/3x+1-2/12-(-2-25/6x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 6x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-11/3x-(-25/6x-2)+1-2/12=0

We get rid of parentheses

-11/3x+25/6x+2+1-2/12=0

We calculate fractions


(-216x^2)/216x^2+(-792x)/216x^2+900x/216x^2+2+1=0

We add all the numbers together, and all the variables

(-216x^2)/216x^2+(-792x)/216x^2+900x/216x^2+3=0

We multiply all the terms by the denominator


(-216x^2)+(-792x)+900x+3*216x^2=0

We add all the numbers together, and all the variables

(-216x^2)+900x+(-792x)+3*216x^2=0

Wy multiply elements

(-216x^2)+648x^2+900x+(-792x)=0

We get rid of parentheses

-216x^2+648x^2+900x-792x=0

We add all the numbers together, and all the variables

432x^2+108x=0

a = 432; b = 108; c = 0;
Δ = b2-4ac
Δ = 1082-4·432·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(108)-108}{2*432}=\frac{-216}{864}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+108}{2*432}=\frac{0}{864}
=0
$