Answer:
x = -5 or x = -4
Step-by-step explanation:
Given equation is :
x²+9x+20 = 0
We have to solve above equation by factoring.
Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product should be 20.
Terms are 4 and 5.
Their product is 4.5 = 20 and their sum is 4+5 = 9
x²+5x+4x+20 = 0
Step 2. Making two groups and taking common ,we get
x(x+5)+4(x+5) = 0
Step 3. Taking (x+5) as common , we get
(x+5)(x+4) =0
Step 4. Applying Zero-Product Property to above equation ,we get
x+5 = 0 and x+4 = 0
Step 5. Separating x,we get
x = -5 or x = -4 Which is the answer.
