Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{c+d}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&d=-c\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{c+d}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&d=-c\text{ and }x=0\end{matrix}\right.
Solve for c
c=ax-d
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ax=c+d
Add d to both sides.
xa=c+d
The equation is in standard form.
\frac{xa}{x}=\frac{c+d}{x}
Divide both sides by x.
a=\frac{c+d}{x}
Dividing by x undoes the multiplication by x.
ax=c+d
Add d to both sides.
xa=c+d
The equation is in standard form.
\frac{xa}{x}=\frac{c+d}{x}
Divide both sides by x.
a=\frac{c+d}{x}
Dividing by x undoes the multiplication by x.
c=ax-d
Swap sides so that all variable terms are on the left hand side.
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