divide through by 6 first
6(x^6+5x^5+6x^4)=0
take out the lowest common factor x^4
6x^4(x^2+5x+6)
then factorise the bracket
6x^4.(x+2)(x+3)
6x^6 + 30x^5 + 36x^4 =0
5 answers
you can of course just do it in one step and take out 6x^4 if you are comfortable enough to do that
x = 0
x = -1
x = -6
??
x = -1
x = -6
??
or maybe not ... my calculator is broken
from Jordan's last line ...
6x^4(x+2)(x+3) = 0
x = 0
x = -2
x = -3
6x^4(x+2)(x+3) = 0
x = 0
x = -2
x = -3