25y^2=75y

Solution for 25y^2=75y equation:

25y^2=75y

We move all terms to the left:

25y^2-(75y)=0

a = 25; b = -75; c = 0;
Δ = b2-4ac
Δ = -752-4·25·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-75}{2*25}=\frac{0}{50}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+75}{2*25}=\frac{150}{50}
=3
$