Solve for a
\left\{\begin{matrix}a=-\frac{c-v}{r^{2}}\text{, }&r\neq 0\\a\in \mathrm{R}\text{, }&v=c\text{ and }r=0\end{matrix}\right.
Solve for c
c=v-ar^{2}
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ar^{2}+c=v
Swap sides so that all variable terms are on the left hand side.
ar^{2}=v-c
Subtract c from both sides.
r^{2}a=v-c
The equation is in standard form.
\frac{r^{2}a}{r^{2}}=\frac{v-c}{r^{2}}
Divide both sides by r^{2}.
a=\frac{v-c}{r^{2}}
Dividing by r^{2} undoes the multiplication by r^{2}.
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