Question
$$4x^2+9x^2+5-(2x^2+6x^2+3) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{\sqrt{ 10 }}{ 5 } i & x_2 = - \dfrac{\sqrt{ 10 }}{ 5 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2+9x^2+5-(2x^2+6x^2+3) &= 0&& \text{simplify left side} \\[1 em]13x^2+5-(8x^2+3) &= 0&& \\[1 em]13x^2+5-8x^2-3 &= 0&& \\[1 em]5x^2+2 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}+2 = 0 $ is a quadratic equation.
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