Solve the given polynomial equation use the rational zero


Solve the given polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first root.

10x^5+59x^4+54x^3-186x^2-252x+27=0

The solution set is ?

(Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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Mathematics: Solve the given polynomial equation use the rational zero
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