6y=4X2

Solution for 6y=4X2 equation:

6y=4y^2

We move all terms to the left:

6y-(4y^2)=0

determiningTheFunctionDomain
-4y^2+6y=0

a = -4; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-4)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-4}=\frac{-12}{-8}
=1+1/2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-4}=\frac{0}{-8}
=0
$