Question
$$x = -9x^2+18x+79$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 17 }{ 18 }-\dfrac{\sqrt{ 3133 }}{ 18 } & x_2 = \dfrac{ 17 }{ 18 }+\dfrac{\sqrt{ 3133 }}{ 18 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x &= -9x^2+18x+79&& \text{move all terms to the left hand side } \\[1 em]x+9x^2-18x-79 &= 0&& \text{simplify left side} \\[1 em]9x^2-17x-79 &= 0&& \\[1 em] \end{aligned} $$
$ 9x^{2}-17x-79 = 0 $ is a quadratic equation.
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