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Solve the equation. If there are multiple solutions, separate any solutions with a comma. If the solutions are complex, use a+bi form. Do not use any decimal values. Simplify any radicals.

Solve The Equation If There Are Multiple Solutions Separate Any Solutions With A Comma If The Solutions Are Complex Use Abi Form Do Not Use Any Decimal Values S class=

Answer :

[tex]\begin{gathered} (3n+2)^2=\text{ -192} \\ Solving\text{ n} \\ \sqrt{(3n+2)^2}=\sqrt{-192} \\ 3n+2=\pm8\sqrt{3}i \\ 3n=\text{ -2}\pm\text{8}\sqrt{3}\text{i} \\ n=-\frac{2}{3}\pm\frac{8\sqrt{3}i}{3} \\ \\ The\text{ value of n is }-\frac{2}{3}\pm\frac{8\sqrt{3}i}{3} \end{gathered}[/tex]

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