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