Solve for c
\left\{\begin{matrix}c=-\frac{tu}{r}\text{, }&u\neq 0\text{ and }t\neq 0\text{ and }r\neq 0\\c\neq 0\text{, }&\left(t=0\text{ or }u=0\right)\text{ and }r=0\end{matrix}\right.
Solve for r
r=-\frac{tu}{c}
c\neq 0
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rc=-tu
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.
\frac{rc}{r}=-\frac{tu}{r}
Divide both sides by r.
c=-\frac{tu}{r}
Dividing by r undoes the multiplication by r.
c=-\frac{tu}{r}\text{, }c\neq 0
Variable c cannot be equal to 0.
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