How do you solve #2+ \frac { 5} { 3x - 6} = \frac { - 2} { ( 3x - 6) ^ { 2} }#?

Question

449 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-11T07:56:20

#x=11/6# or #x=4/3#

#2+5/(3x-6)=-2/(3x-6)^2# where #x!=2#

Multiply both sides by #(3x-6)^2#
#2(3x-6)^2+5(3x-6)=-2#

Expand the brackets
#2(9x^2-36x+36)+15x-30=-2#

Simplify
#18x^2-72x+72+15x-30+2=0#

Simplify
#18x^2-57x+44=0#

Factorise
#(6x-11)(3x-4)=0#

Therefore, #x=11/6# or #x=4/3#