Answer
$3,-3,-5$
Work Step by Step
Given: $x^3+5x^2=9x+45$
This gives $x^3+5x^2-9x-45=0$
or, $x^2(x+5)-9(x+5)=0$
or, $(x^2-9)(x+5)=0$
Thus, $(x-3)(x+3)(x+5)=0$
Hence, $x=3,-3,-5$
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