Solve calphad=c/d

$$c \alpha d = \frac { c } { d }$$

Solve for c

$$\left\{\begin{matrix}c=0\text{, }&d\neq 0\\c\in \mathrm{R}\text{, }&\alpha =\frac{1}{d^{2}}\text{ and }d\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by d.

$$c\alpha dd=c$$

Multiply d and d to get d^{2}.

$$c\alpha d^{2}=c$$

Subtract c from both sides.

$$c\alpha d^{2}-c=0$$

Combine all terms containing c.

$$\left(\alpha d^{2}-1\right)c=0$$

Divide 0 by \alpha d^{2}-1.

$$c=0$$

Solve for d

$$\left\{\begin{matrix}d=\frac{1}{\sqrt{\alpha }}\text{; }d=-\frac{1}{\sqrt{\alpha }}\text{, }&\alpha >0\\d\neq 0\text{, }&c=0\end{matrix}\right.$$