[tex]x^{5}-2x^{4}-15x^{3} = 0\\\\x^{3}(x^{2}-2x-15) = 0\\\\x^{3}(x^{2}-5x+3x-15) = 0\\\\x^{3}(x(x-5) + 3(x-5)) = 0\\\\x^{3}(x-5)(x+3) = 0\\\\x^{3} = 0 \ \vee \ x - 5 = 0 \ \vee \ x+3 = 0\\\\x = 0 \ \vee \ x = 5 \ \vee \ x = -3\\\\x \in \{-3, 0, 5\}[/tex]
