<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B9x%2B20%3D0" id="TexFormula1" title="x^{2} +9x+20=0" alt="x^{2} +9x+20=0" ali

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Alenkasestr [34]

3 years ago

gn="absmiddle" class="latex-formula">

What are the steps to solve by factoring?

Mathematics

2 answers:

katen-ka-za [31]3 years ago

5 0

Answer:

x = -5 or x = -4

Step-by-step 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.

Hoochie [10]3 years ago

3 0

Answer:

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 $(x+5)=0\Rightarrow x=-5$ .

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