\left\{ \begin{array} { l } { \frac { 7 } { 9 } \sqrt { 3 } = c } \\ { - b = 8 a } \\ { a x ^ { 2 } + b x + c = a ( x + b ) ^ { 2 } + b ( x + b ) + c } \end{array} \right.
Solve for x (complex solution)
\left\{\begin{matrix}x=4\left(a+1\right)\text{, }&b=-8a\text{ and }a\neq 0\text{ and }c=\frac{7\sqrt{3}}{9}\\x\in \mathrm{C}\text{, }&b=0\text{ and }c=\frac{7\sqrt{3}}{9}\text{ and }a=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=4\left(a+1\right)\text{, }&b=-8a\text{ and }a\neq 0\text{ and }c=\frac{7\sqrt{3}}{9}\\x\in \mathrm{R}\text{, }&b=0\text{ and }c=\frac{7\sqrt{3}}{9}\text{ and }a=0\end{matrix}\right.
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