Question
$$-6^2+c+2c^2+2c-1 = 0$$
Answer
$$ \begin{matrix}c_1 = -\dfrac{ 3 }{ 4 }-\dfrac{\sqrt{ 305 }}{ 4 } & c_2 = -\dfrac{ 3 }{ 4 }+\dfrac{\sqrt{ 305 }}{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -6^2+c+2c^2+2c-1 &= 0&& \text{simplify left side} \\[1 em]-36+c+2c^2+2c-1 &= 0&& \\[1 em]2c^2+3c-37 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+3x-37 = 0 $ is a quadratic equation.
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