Solve for k (complex solution)
\left\{\begin{matrix}\\k=\frac{5}{9}\approx 0.555555556\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&m=0\end{matrix}\right.
Solve for m (complex solution)
\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&k=\frac{5}{9}\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=\frac{5}{9}\approx 0.555555556\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=\frac{5}{9}\end{matrix}\right.
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\frac{9m}{5}k=m
The equation is in standard form.
\frac{5\times \frac{9m}{5}k}{9m}=\frac{5m}{9m}
Divide both sides by 1.8m.
k=\frac{5m}{9m}
Dividing by 1.8m undoes the multiplication by 1.8m.
k=\frac{5}{9}
Divide m by 1.8m.
1.8km-m=0
Subtract m from both sides.
\left(1.8k-1\right)m=0
Combine all terms containing m.
\left(\frac{9k}{5}-1\right)m=0
The equation is in standard form.
m=0
Divide 0 by -1+1.8k.
\frac{9m}{5}k=m
The equation is in standard form.
\frac{5\times \frac{9m}{5}k}{9m}=\frac{5m}{9m}
Divide both sides by 1.8m.
k=\frac{5m}{9m}
Dividing by 1.8m undoes the multiplication by 1.8m.
k=\frac{5}{9}
Divide m by 1.8m.
1.8km-m=0
Subtract m from both sides.
\left(1.8k-1\right)m=0
Combine all terms containing m.
\left(\frac{9k}{5}-1\right)m=0
The equation is in standard form.
m=0
Divide 0 by -1+1.8k.
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