a) \(\Leftrightarrow x^2-2x+1-14=x^2-4-8x\)
\(\Leftrightarrow6x=9\Leftrightarrow x=\dfrac{3}{2}\)
b) \(\Leftrightarrow x^3-1-x\left(x^2-4\right)=5\)
\(\Leftrightarrow x^3-1-x^3+4x=5\)
\(\Leftrightarrow4x=6\Leftrightarrow x=\dfrac{3}{2}\)
c) \(\Leftrightarrow\left(3x-5\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x=5\\x=-3\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-3\end{matrix}\right.\)
d) \(\Leftrightarrow12x-4-10+6x=-12\)
\(\Leftrightarrow18x=2\Leftrightarrow x=\dfrac{1}{9}\)
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