P(x) =

(2x^4 + 3x^3 − 16x − 24)^2 = 0

(x^3(2x + 3) − 8(2x + 3))^2 = 0

((x^3 − 8)(2x + 3))^2 = 0

taking square root on both sides, we get

(x^3 − 8)(2x + 3) = 0

(x - 2)(x^2 + 2x + 4)(2x + 3) = 0

x = 2 x = - 3/2 x^2 + 2x = - 4

x(x + 2) = - 4

x = - 4 x = - 6

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