Question
$$2x^2-9 = 4x^2+7$$
Answer
$$ \begin{matrix}x_1 = 2 \sqrt{ 2 } i & x_2 = -2 \sqrt{ 2 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x^2-9 &= 4x^2+7&& \text{move all terms to the left hand side } \\[1 em]2x^2-9-4x^2-7 &= 0&& \text{simplify left side} \\[1 em]-2x^2-16 &= 0&& \\[1 em] \end{aligned} $$
$ -2x^{2}-16 = 0 $ is a quadratic equation.
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