Solve for b (complex solution)
\left\{\begin{matrix}b=-\frac{d+y-xy}{x}\text{, }&x\neq 0\\b\in \mathrm{C}\text{, }&y=-d\text{ and }x=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=-\frac{d+y-xy}{x}\text{, }&x\neq 0\\b\in \mathrm{R}\text{, }&y=-d\text{ and }x=0\end{matrix}\right.
Solve for d
d=xy-bx-y
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d+xb=xy-y
Swap sides so that all variable terms are on the left hand side.
xb=xy-y-d
Subtract d from both sides.
\frac{xb}{x}=\frac{xy-y-d}{x}
Divide both sides by x.
b=\frac{xy-y-d}{x}
Dividing by x undoes the multiplication by x.
d+xb=xy-y
Swap sides so that all variable terms are on the left hand side.
xb=xy-y-d
Subtract d from both sides.
\frac{xb}{x}=\frac{xy-y-d}{x}
Divide both sides by x.
b=\frac{xy-y-d}{x}
Dividing by x undoes the multiplication by x.
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