Solve the equation \( \left|\begin{array}{ccc}4 x & 6 x+2 & 8 x+1 \\ 6 x+2 & 9 x+3 & 12 x \\ 8 x...

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Solve the equation
\( \left|\begin{array}{ccc}4 x & 6 x+2 & 8 x+1 \\ 6 x+2 & 9 x+3 & 12 x \\ 8 x+1 & 12 x & 16 x+2\end{array}\right|=0 \)
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