2y=(5y/6)+4

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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 $

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