Question
$$5x^2-x+5 = x+1$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 5 }+\dfrac{\sqrt{ 19 }}{ 5 }i & x_2 = \dfrac{ 1 }{ 5 }-\dfrac{\sqrt{ 19 }}{ 5 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^2-x+5 &= x+1&& \text{move all terms to the left hand side } \\[1 em]5x^2-x+5-x-1 &= 0&& \text{simplify left side} \\[1 em]5x^2-2x+4 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-2x+4 = 0 $ is a quadratic equation.
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