-9y^2=54y

Solution for -9y^2=54y equation:

-9y^2=54y

We move all terms to the left:

-9y^2-(54y)=0

a = -9; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·(-9)·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*-9}=\frac{0}{-18}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*-9}=\frac{108}{-18}
=-6
$