8y=12y2

Solution for 8y=12y2 equation:

8y=12y^2

We move all terms to the left:

8y-(12y^2)=0

determiningTheFunctionDomain
-12y^2+8y=0

a = -12; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-12)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-12}=\frac{-16}{-24}
=2/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-12}=\frac{0}{-24}
=0
$