-9 { x }^{ 4 } +16 { \left( { x }_{ 0 } \right) }^{ 3 } +3 { \left( { x }_{ 0 } \right) }^{ 2 } -18 { x }_{ 0 } +8 = 0
Solve for x
x=\frac{\sqrt{3}\sqrt[4]{16x_{0}^{3}+3x_{0}^{2}-18x_{0}+8}}{3}
x=-\frac{\sqrt{3}\sqrt[4]{16x_{0}^{3}+3x_{0}^{2}-18x_{0}+8}}{3}\text{, }x_{0}=\frac{-\sqrt[3]{48\sqrt{197}+1169}-\sqrt[3]{1169-48\sqrt{197}}-1}{16}\text{ or }16x_{0}^{3}+3x_{0}^{2}-18x_{0}+8\geq 0
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