Question

$$4x2+abx-(a2-b2)=0$$

Solve for a (complex solution)

$\left\{\begin{matrix}a=-\frac{4x_{2}+b_{2}-a_{2}}{bx}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{C}\text{, }&x_{2}=\frac{a_{2}-b_{2}}{4}\text{ and }\left(x=0\text{ or }b=0\right)\end{matrix}\right.$

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Solve for a

$\left\{\begin{matrix}a=-\frac{4x_{2}+b_{2}-a_{2}}{bx}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{R}\text{, }&x_{2}=\frac{a_{2}-b_{2}}{4}\text{ and }\left(x=0\text{ or }b=0\right)\end{matrix}\right.$

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Solve for a_2

$a_{2}=abx+4x_{2}+b_{2}$

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