Question
$$x+4-5x+2x^2 = 10$$
Answer
$$ \begin{matrix}x_1 = -1 & x_2 = 3 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x+4-5x+2x^2 &= 10&& \text{simplify left side} \\[1 em]2x^2-4x+4 &= 10&& \text{move all terms to the left hand side } \\[1 em]2x^2-4x+4-10 &= 0&& \text{simplify left side} \\[1 em]2x^2-4x-6 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-4x-6 = 0 $ is a quadratic equation.
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