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