2y=(5y/6)+4

Solution for 2y=(5y/6)+4 equation:

2y=(5y/6)+4

We move all terms to the left:

2y-((5y/6)+4)=0

We add all the numbers together, and all the variables

2y-((+5y/6)+4)=0

We multiply all the terms by the denominator


2y*6)+4)-((+5y=0

We add all the numbers together, and all the variables

5y+2y*6)+4)-((=0

Wy multiply elements

12y^2+5y=0

a = 12; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·12·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*12}=\frac{-10}{24}
=-5/12
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*12}=\frac{0}{24}
=0
$