Solve sumF=ma

$$\sum F = m a$$

Solve for F (complex solution)

$$\left\{\begin{matrix}F=\frac{am}{Σ}\text{, }&Σ\neq 0\\F\in \mathrm{C}\text{, }&\left(m=0\text{ or }a=0\right)\text{ and }Σ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ΣF=am$$

Divide both sides by Σ.

$$\frac{ΣF}{Σ}=\frac{am}{Σ}$$

Dividing by Σ undoes the multiplication by Σ.

$$F=\frac{am}{Σ}$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{FΣ}{m}\text{, }&m\neq 0\\a\in \mathrm{C}\text{, }&\left(Σ=0\text{ or }F=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ma=ΣF$$

The equation is in standard form.

$$ma=FΣ$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{FΣ}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{FΣ}{m}$$

Solve for F

$$\left\{\begin{matrix}F=\frac{am}{Σ}\text{, }&Σ\neq 0\\F\in \mathrm{R}\text{, }&\left(m=0\text{ or }a=0\right)\text{ and }Σ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$ΣF=am$$

Divide both sides by Σ.

$$\frac{ΣF}{Σ}=\frac{am}{Σ}$$

Dividing by Σ undoes the multiplication by Σ.

$$F=\frac{am}{Σ}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{FΣ}{m}\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&\left(Σ=0\text{ or }F=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ma=ΣF$$

The equation is in standard form.

$$ma=FΣ$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{FΣ}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{FΣ}{m}$$