$$15CM=1570CM$$
$\left\{\begin{matrix}\\C=0\text{, }&\text{unconditionally}\\C\in \mathrm{R}\text{, }&M=0\end{matrix}\right.$
$$15CM-1570CM=0$$
$$-1555CM=0$$
$$\left(-1555M\right)C=0$$
$$C=0$$
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$\left\{\begin{matrix}\\M=0\text{, }&\text{unconditionally}\\M\in \mathrm{R}\text{, }&C=0\end{matrix}\right.$
$$\left(-1555C\right)M=0$$
$$M=0$$