Solve for a (complex solution)
\left\{\begin{matrix}a=-3x+\frac{k}{m}\text{, }&m\neq 0\\a\in \mathrm{C}\text{, }&k=0\text{ and }m=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-3x+\frac{k}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&k=0\text{ and }m=0\end{matrix}\right.
Solve for k
k=m\left(3x+a\right)
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am+3mx=k
Swap sides so that all variable terms are on the left hand side.
am=k-3mx
Subtract 3mx from both sides.
ma=k-3mx
The equation is in standard form.
\frac{ma}{m}=\frac{k-3mx}{m}
Divide both sides by m.
a=\frac{k-3mx}{m}
Dividing by m undoes the multiplication by m.
a=-3x+\frac{k}{m}
Divide k-3xm by m.
am+3mx=k
Swap sides so that all variable terms are on the left hand side.
am=k-3mx
Subtract 3mx from both sides.
ma=k-3mx
The equation is in standard form.
\frac{ma}{m}=\frac{k-3mx}{m}
Divide both sides by m.
a=\frac{k-3mx}{m}
Dividing by m undoes the multiplication by m.
a=-3x+\frac{k}{m}
Divide k-3xm by m.
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