0=y2+5y+6

Solution for 0=y2+5y+6 equation:

0=y2+5y+6

We move all terms to the left:

0-(y2+5y+6)=0

We add all the numbers together, and all the variables

-(+y^2+5y+6)+0=0

We add all the numbers together, and all the variables

-(+y^2+5y+6)=0

We get rid of parentheses

-y^2-5y-6=0

We add all the numbers together, and all the variables

-1y^2-5y-6=0

a = -1; b = -5; c = -6;
Δ = b2-4ac
Δ = -52-4·(-1)·(-6)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-1}{2*-1}=\frac{4}{-2}
=-2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+1}{2*-1}=\frac{6}{-2}
=-3
$