11y^2=-11y

Solution for 11y^2=-11y equation:

11y^2=-11y

We move all terms to the left:

11y^2-(-11y)=0

We get rid of parentheses

11y^2+11y=0

a = 11; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·11·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*11}=\frac{-22}{22}
=-1
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*11}=\frac{0}{22}
=0
$