y^2 + y - 6 = 0
A way we could solve this equation is by factoring.
To factor, we have to find two factors of -6 that add up to 1, which is the coefficient for y.
-2 and 3 are two factors of -6 that add to 1.
Now, since we have 2 factors, let's factor
(y - 2) (y + 3) = 0
In order for this to be true, y-2 OR y+3 must equal 0.
y - 2 = 0
Add both sides by 2
y = 2
Now, let's solve for y+3 = 0
y + 3 = 0
Subtract both sides by 3
y = -3
The two solutions to this equation are y=2 and y= -3.
Have an awesome day! :)