6y(y+11)=0

Solution for 6y(y+11)=0 equation:

6y(y+11)=0

We multiply parentheses

6y^2+66y=0

a = 6; b = 66; c = 0;
Δ = b2-4ac
Δ = 662-4·6·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(66)-66}{2*6}=\frac{-132}{12}
=-11
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(66)+66}{2*6}=\frac{0}{12}
=0
$