# How do you solve #x^2+5x+6=0# by factoring?

##### 3 Answers

Jul 16, 2018

#### Explanation:

#"the factors of "+6" which sum to "+5" #

#"are "+3" and "+2#

#(x+3)(x+2)=0#

#"equate each factor to zero and solve for x"#

#x+3=0rArrx=-3#

#x+2=0rArrx=-2#

Jul 16, 2018

#### Explanation:

we get

using that

we get

so

we get

Jul 16, 2018

#### Explanation:

Let's do a little thought experiment:

What two numbers sum to the middle term, and have a product of the last term?

After some trial and error, we arrive at

Next, we can set both factors equal to zero to get

Hope this helps!