Answer:
x = -4 or x = -2
Step-by-step explanation:
Given equation is :
x²+6x+8 = 0
we solve above equation by factoring.
split the middle term of above equation so that the product of two terms should be 8 and the sum be 6.
x²+4x+2x+8 = 0
make two groups
x(x+4)+2(x+4) = 0
take (x+4) as common
(x+4)(x+2) = 0
Applying Zero-Product Property to above equation ,we get
x+4 = 0 or x+2 = 0
If x+4 = 0
adding -4 to both sides of above equation, we get
x+4-4 = 0-4
x+0 = -4
x = -4
If x+2 = 0
adding -2 to both sides of above equation,we get
x+2-2 = 0-2
x+0 = -2
x = -2
hence, the solution of x²+6x+8 = 0 is {-4,-2}.
