Question

find all real solutions of the equation x^9-625x^5=0

Answer 1

start with
\[x^5(x^4-625)=0\]then factor as
\[x^5(x^2-25)(x^2+25)\] and finally
\[x^5(x+5)(x-5)(x^2+25)=0\]

Answer 2

so solutions are 0, 5, -5