How do you solve #n^2 - 7n = 0# by factoring?

Question

9870 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-13T10:14:48

#n=0 or n=7#

#n^2 -7n = 0#

#n(n-7)=0#

To equal zero, either #n# or #(n-7)# must be equal to zero

If #n=0#:
#color(red)(n=0)#

If #(n-7)=0#
#color(red)(n=7)#

Answer 2 · 2018-04-13T10:15:49

#n=0" or "n=7#

#"take out a "color(blue)"common factor "n#

#rArrn(n-7)=0#

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

#rArrn=0#

#n-7=0rArrn=7#

Answer 3 · 2018-04-13T10:28:18

#n=0#, #n=7#

Factorising:

#n^2-7n -> n(n-7)#

Set each bracket/term equal to #0#:

#n=0#

#n-7=0#

#-> n=7#