5/6y=2-11/12y

Solution for 5/6y=2-11/12y equation:

5/6y=2-11/12y

We move all terms to the left:

5/6y-(2-11/12y)=0


Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R



Domain of the equation: 12y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

5/6y-(-11/12y+2)=0

We get rid of parentheses

5/6y+11/12y-2=0

We calculate fractions


60y/72y^2+66y/72y^2-2=0

We multiply all the terms by the denominator


60y+66y-2*72y^2=0

We add all the numbers together, and all the variables

126y-2*72y^2=0

Wy multiply elements

-144y^2+126y=0

a = -144; b = 126; c = 0;
Δ = b2-4ac
Δ = 1262-4·(-144)·0
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(126)-126}{2*-144}=\frac{-252}{-288}
=7/8
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(126)+126}{2*-144}=\frac{0}{-288}
=0
$