# How do you solve #x^2+8x+7=0# by factoring?

##### 1 Answer

Oct 29, 2017

#### Explanation:

Separate the middle term into two terms which will match the first and third terms:

#x^2 + 8x + 7 = 0#

#x^2 + x + 7x + 7 = 0#

#(x^2+x)+(7x+7) = 0#

#x(x+1) + 7(x+1) = 0#

#(x+7)(x+1) = 0#

Therefore:

#x+7 = 0 " " or " " x + 1 = 0#

#x = -7 " " or " " x = -1#

*Final Answer*