Solve for k (complex solution)
\left\{\begin{matrix}\\k=\frac{x}{42}\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{x}{42}\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=\frac{x}{42}\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{x}{42}\end{matrix}\right.
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42mk=mx
The equation is in standard form.
\frac{42mk}{42m}=\frac{mx}{42m}
Divide both sides by 42m.
k=\frac{mx}{42m}
Dividing by 42m undoes the multiplication by 42m.
k=\frac{x}{42}
Divide xm by 42m.
42km-xm=0
Subtract xm from both sides.
\left(42k-x\right)m=0
Combine all terms containing m.
m=0
Divide 0 by 42k-x.
42mk=mx
The equation is in standard form.
\frac{42mk}{42m}=\frac{mx}{42m}
Divide both sides by 42m.
k=\frac{mx}{42m}
Dividing by 42m undoes the multiplication by 42m.
k=\frac{x}{42}
Divide xm by 42m.
42km-xm=0
Subtract xm from both sides.
\left(42k-x\right)m=0
Combine all terms containing m.
m=0
Divide 0 by 42k-x.
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