Question 1010018


{{{x^2-7x=18}}}.......move {{{18}}} to the left

{{{x^2-7x-18=0}}}....factor completely; first write {{{-7x}}} as {{{2x-9x}}}

{{{x^2+2x-9x-18=0}}}.........group

{{{(x^2+2x)-(9x+18)=0}}}...factor out {{{x}}} from first group and {{{9}}} from second group

{{{x(x+2)-9(x+2)=0}}}...factor out {{{x+2}}}

{{{(x-9)(x+2)=0}}}

solutions:

if {{{(x-9)=0}}}=>{{{highlight(x=9)}}}
if {{{(x+2)=0}}}=>{{{highlight(x=-2)}}}