Question
$$14+2x^2 = 24$$
Answer
$$ \begin{matrix}x_1 = -\sqrt{ 5 } & x_2 = \sqrt{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 14+2x^2 &= 24&& \text{simplify left side} \\[1 em]2x^2+14 &= 24&& \text{move all terms to the left hand side } \\[1 em]2x^2+14-24 &= 0&& \text{simplify left side} \\[1 em]2x^2-10 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-10 = 0 $ is a quadratic equation.
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