Solve for F
\left\{\begin{matrix}F=\frac{at}{v}+i\text{, }&v\neq 0\text{ and }t\neq 0\\F\in \mathrm{C}\text{, }&v=0\text{ and }a=0\text{ and }t\neq 0\end{matrix}\right.
Solve for a
a=-\frac{v\left(i-F\right)}{t}
t\neq 0
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at=vF-vi
Multiply both sides of the equation by t.
vF-vi=at
Swap sides so that all variable terms are on the left hand side.
vF=at+vi
Add vi to both sides.
vF=at+iv
The equation is in standard form.
\frac{vF}{v}=\frac{at+iv}{v}
Divide both sides by v.
F=\frac{at+iv}{v}
Dividing by v undoes the multiplication by v.
F=\frac{at}{v}+i
Divide at+iv by v.
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