Solve for x_0
x_{0}=\left(c-2\right)\left(3c+1\right)
Solve for c
c=\frac{-\sqrt{12x_{0}+49}+5}{6}
c=\frac{\sqrt{12x_{0}+49}+5}{6}\text{, }x_{0}\geq -\frac{49}{12}
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x_{0}=3c^{2}-5c-2
Use the distributive property to multiply 3c+1 by c-2 and combine like terms.
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