# How do you solve by factoring # 5n^2- 17n= -6#?

##### 1 Answer

May 14, 2016

#### Explanation:

First add

#5n^2-17n+6 = 0#

Then use an AC method:

Look for a pair of factors of

The pair

Use this pair to split the middle term and factor by grouping:

#5n^2-17n+6#

#= 5n^2-15n-2n+6#

#= (5n^2-15n)-(2n-6)#

#= 5n(n-3)-2(n-3)#

#= (5n-2)(n-3)#

So our original equation becomes:

#(5n-2)(n-3) = 0#

with solutions:

#n = 2/5# or#n = 3#