Y^2+8y+15=0 use factorization to solve for the unknown
To factorize Y^2+8y+15=0, we need to find two numbers that add up to 8 and multiply to 15. These numbers are 3 and 5. Therefore, we can write:
Y^2+8y+15 = (Y+3)(Y+5) = 0
Now we can use the zero product property, which states that if a product of two factors is equal to zero, then at least one of the factors must be zero. Therefore, we have:
Y+3 = 0 or Y+5 = 0
Solving for Y, we get:
Y = -3 or Y = -5
Therefore, the solutions of Y^2+8y+15=0 are Y=-3 and Y=-5.