6y(5y-2)=0

Solution for 6y(5y-2)=0 equation:

6y(5y-2)=0

We multiply parentheses

30y^2-12y=0

a = 30; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·30·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*30}=\frac{0}{60}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*30}=\frac{24}{60}
=2/5
$