Solve for k
\left\{\begin{matrix}\\k=5\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=5\end{matrix}\right.
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\frac{m}{5}k=m
The equation is in standard form.
\frac{5\times \frac{m}{5}k}{m}=\frac{5m}{m}
Divide both sides by 0.2m.
k=\frac{5m}{m}
Dividing by 0.2m undoes the multiplication by 0.2m.
k=5
Divide m by 0.2m.
0.2km-m=0
Subtract m from both sides.
\left(0.2k-1\right)m=0
Combine all terms containing m.
\left(\frac{k}{5}-1\right)m=0
The equation is in standard form.
m=0
Divide 0 by -1+0.2k.
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