$$2x^2+x-1 = x+6$$
Answer
$$ \begin{matrix}x_1 = - \dfrac{\sqrt{ 14 }}{ 2 } & x_2 = \dfrac{\sqrt{ 14 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x^2+x-1 &= x+6&& \text{move all terms to the left hand side } \\[1 em]2x^2+x-1-x-6 &= 0&& \text{simplify left side} \\[1 em]2x^2+x-1-x-6 &= 0&& \\[1 em]2x^2-7 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-7 = 0 $ is a quadratic equation.
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