Find all solutions, real and complex, of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) x^6+36x^4-9x^2-324=0?

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Oddman answered
The equation lends itself to factoring by grouping.
  (x^6 + 36x^4) - (9x^2 + 324) = 0
  x^4(x^2 + 36) - 9(x^2 + 36) = 0
  (x^4 - 9)(x^2 + 36) = 0
  (x^2 - 3)(x^2 + 3)(x^2 + 36) = 0

Solutions are {±√3, ±I√3, ±6i}.

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