Solve for k (complex solution)
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&x=-2\sqrt{2}\text{ or }x=2\sqrt{2}\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&|x|=2\sqrt{2}\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-2\sqrt{2}\text{; }x=2\sqrt{2}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&k=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=2\sqrt{2}\text{; }x=-2\sqrt{2}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&k=0\end{matrix}\right.
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\left(4x^{2}-32\right)k=0
Combine all terms containing k.
k=0
Divide 0 by 4x^{2}-32.
\left(4x^{2}-32\right)k=0
Combine all terms containing k.
k=0
Divide 0 by 4x^{2}-32.
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