X^2+9x+20=0

what are the steps to solve by factoring?

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.