Question

`x^(2) +9x+20=0`

What are the steps to solve by factoring?

Answer 1

x = -5 or x = -4

Explanation:

Given equation is :

x²+9x+20 = 0

We have to solve it by factoring.

Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product be 20.

x²+5x+4x+20 = 0

Step 2. Making groups ang taking common terms.

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 or x+4 = 0

x = -5 or x = -4 which is the answer.

Answer 2

We have been given an equation
`x^2+9x+20=0`

We will factorize it by middle term splitting.

Step 1:
`x^2+5x+4x+20=0`

Taking common factors out by clubing first two terms ad last two terms

Step 2:
`x(x+5)+4(x+5)=0`

Step 3:
`(x+4)(x+5)=0`

Equating both above factors to zero as:

Step 4:
`(x+4)=0\Rightarrow x=-4`

And
`(x+5)=0\Rightarrow x=-5`.