Solve the following equations: \[ \left|\begin{array}{lll} 1 & x & ...

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Solve the following equations:
\[
\left|\begin{array}{lll}
1 & x & x^{3} \\
1 & b & b^{3} \\
1 & c & c^{3}
\end{array}\right|=0
\]
\( \mathrm{P} \)
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