Question 1000554


{{{9x^5+9x^4+65x^3+65x^2-144x-144=0}}}....factor completely

{{{(9x^5+9x^4)+(65x^3+65x^2)-(144x+144)=0}}}

{{{9x^4(x+1)+65x^2(x+1)-144(x+1)=0}}}

{{{(9x^4+65x^2-144)(x+1)=0}}}

{{{(9x^4+81x^2-16x^2-144)(x+1)=0}}}

{{{((9x^4+81x^2)-(16x^2+144))(x+1)=0}}}

{{{(9x^2(x^2+9)-16(x^2+9))(x+1)=0}}}

{{{(9x^2-16)(x^2+9)(x+1)=0}}}

{{{((3x)^2-4^2)(x^2+9)(x+1)=0}}}

{{{(3x-4)(3x+4)(x^2+9)(x+1)=0}}}

solutions:

if {{{(3x-4)=0}}}=>{{{3x=4}}}=>{{{highlight(x=4/3)}}}
if {{{(3x+4)=0}}}=>{{{3x=-4}}}=>{{{highlight(x=-4/3)}}}
if {{{(x^2+9)=0}}}=>{{{x^2=-9}}}=>{{{x=sqrt(-9)}}}=>{{{highlight(x=3i)}}} and {{{highlight(x=-3i)}}}
if {{{(x+1)=0}}}=>{{{highlight(x=-1)}}}