8y-3=5(y-1)/3y

Solution for 8y-3=5(y-1)/3y equation:

8y-3=5(y-1)/3y

We move all terms to the left:

8y-3-(5(y-1)/3y)=0


Domain of the equation: 3y)!=0

y!=0/1

y!=0

y∈R


We multiply all the terms by the denominator


8y*3y)-(5(y-1)-3*3y)=0

Wy multiply elements

24y^2-9y=0

a = 24; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·24·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*24}=\frac{0}{48}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*24}=\frac{18}{48}
=3/8
$