\left\{ \begin{array} { l } { x _ { 1 } = 2 \sqrt { - Q } \cos ( \frac { \theta } { 3 } ) - \frac { a _ { 1 } } { 3 } } \\ { x _ { 2 } = 2 \sqrt { - Q } \cos ( \frac { \theta + 2 \pi } { 3 } ) - \frac { a _ { 1 } } { 3 } } \\ { x _ { 3 } = 2 \sqrt { - Q } \cos ( \frac { \theta + 4 \pi } { 3 } ) - \frac { a _ { 1 } } { 3 } } \end{array} \right.
Solve for x_1, x_2, x_3
x_{1}=\frac{6\sqrt{-Q}\cos(\frac{\theta }{3})-a_{1}}{3}
x_{2}=\frac{6\sqrt{-Q}\cos(\frac{\theta +2\pi }{3})-a_{1}}{3}
x_{3}=\frac{6\sqrt{-Q}\cos(\frac{\theta +4\pi }{3})-a_{1}}{3}
Q\leq 0
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