SOLUTION: Hi May I have some help with finding solutions to this equation? Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.) x^5 + 216x^2

Question 121205: Hi May I have some help with finding solutions to this equation?
Find all real solutions of the following equation. (If there are extra answer boxes, enter NONE.)
x^5 + 216x^2 = 0
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
x^2(x^3 + 216) = 0
x^2( (x)^3 + (6)^3 ) = 0
x^2(x + 6)(x^2 - 6x + 36) = 0
x^2(x + 6)(x^2 - 6x + 36)
~~~~ Each section:
x^2 = 0 so x = 0
and
x + 6 = 0 so x = -6
and
x^2 - 6x + 36 = 0
x = ( 6 +- sqrt(36 - 4*36 ....
Olny zero and negative six
~~~~
~>
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