Question
$$5x^2+2 = -7x+8$$
Answer
$$ \begin{matrix}x_1 = -2 & x_2 = \dfrac{ 3 }{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^2+2 &= -7x+8&& \text{move all terms to the left hand side } \\[1 em]5x^2+2+7x-8 &= 0&& \text{simplify left side} \\[1 em]5x^2+7x-6 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+7x-6 = 0 $ is a quadratic equation.
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