2y=6/7y+7

Solution for 2y=6/7y+7 equation:

2y=6/7y+7

We move all terms to the left:

2y-(6/7y+7)=0


Domain of the equation: 7y+7)!=0

y∈R


We get rid of parentheses

2y-6/7y-7=0

We multiply all the terms by the denominator


2y*7y-7*7y-6=0

Wy multiply elements

14y^2-49y-6=0

a = 14; b = -49; c = -6;
Δ = b2-4ac
Δ = -492-4·14·(-6)
Δ = 2737
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{-(-49)-\sqrt{2737}}{2*14}=\frac{49-\sqrt{2737}}{28}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+\sqrt{2737}}{2*14}=\frac{49+\sqrt{2737}}{28}
$