-24y2=9y

Solution for -24y2=9y equation:

-24y^2=9y

We move all terms to the left:

-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
$