1+2y=2/3y

Solution for 1+2y=2/3y equation:

1+2y=2/3y

We move all terms to the left:

1+2y-(2/3y)=0


Domain of the equation: 3y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

2y-(+2/3y)+1=0

We get rid of parentheses

2y-2/3y+1=0

We multiply all the terms by the denominator


2y*3y+1*3y-2=0

Wy multiply elements

6y^2+3y-2=0

a = 6; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·6·(-2)
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{57}}{2*6}=\frac{-3-\sqrt{57}}{12}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{57}}{2*6}=\frac{-3+\sqrt{57}}{12}
$