15y^2=45y

Solution for 15y^2=45y equation:

15y^2=45y

We move all terms to the left:

15y^2-(45y)=0

a = 15; b = -45; c = 0;
Δ = b2-4ac
Δ = -452-4·15·0
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-45}{2*15}=\frac{0}{30}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+45}{2*15}=\frac{90}{30}
=3
$