Solve Ft=mv1-mv0

$$F t = m v 1 - m v 0$$

Solve for F (complex solution)

$$\left\{\begin{matrix}F=\frac{m\left(v_{1}-v_{0}\right)}{t}\text{, }&t\neq 0\\F\in \mathrm{C}\text{, }&\left(m=0\text{ or }v_{1}=v_{0}\right)\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$tF=mv_{1}-mv_{0}$$

Divide both sides by t.

$$\frac{tF}{t}=\frac{m\left(v_{1}-v_{0}\right)}{t}$$

Dividing by t undoes the multiplication by t.

$$F=\frac{m\left(v_{1}-v_{0}\right)}{t}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{Ft}{v_{1}-v_{0}}\text{, }&v_{1}\neq v_{0}\\m\in \mathrm{C}\text{, }&\left(t=0\text{ or }F=0\right)\text{ and }v_{1}=v_{0}\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mv_{1}-mv_{0}=Ft$$

Combine all terms containing m.

$$\left(v_{1}-v_{0}\right)m=Ft$$

Divide both sides by v_{1}-v_{0}.

$$\frac{\left(v_{1}-v_{0}\right)m}{v_{1}-v_{0}}=\frac{Ft}{v_{1}-v_{0}}$$

Dividing by v_{1}-v_{0} undoes the multiplication by v_{1}-v_{0}.

$$m=\frac{Ft}{v_{1}-v_{0}}$$

Solve for F

$$\left\{\begin{matrix}F=\frac{m\left(v_{1}-v_{0}\right)}{t}\text{, }&t\neq 0\\F\in \mathrm{R}\text{, }&\left(m=0\text{ or }v_{1}=v_{0}\right)\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$tF=mv_{1}-mv_{0}$$

Divide both sides by t.

$$\frac{tF}{t}=\frac{m\left(v_{1}-v_{0}\right)}{t}$$

Dividing by t undoes the multiplication by t.

$$F=\frac{m\left(v_{1}-v_{0}\right)}{t}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{Ft}{v_{1}-v_{0}}\text{, }&v_{1}\neq v_{0}\\m\in \mathrm{R}\text{, }&\left(t=0\text{ or }F=0\right)\text{ and }v_{1}=v_{0}\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$mv_{1}-mv_{0}=Ft$$

Combine all terms containing m.

$$\left(v_{1}-v_{0}\right)m=Ft$$

Divide both sides by v_{1}-v_{0}.

$$\frac{\left(v_{1}-v_{0}\right)m}{v_{1}-v_{0}}=\frac{Ft}{v_{1}-v_{0}}$$

Dividing by v_{1}-v_{0} undoes the multiplication by v_{1}-v_{0}.

$$m=\frac{Ft}{v_{1}-v_{0}}$$