Question
$$9x^2-1+5x^2+10 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 3 \sqrt{ 14}}{ 14 } i & x_2 = -3 \dfrac{\sqrt{ 14 }}{ 14 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9x^2-1+5x^2+10 &= 0&& \text{simplify left side} \\[1 em]14x^2+9 &= 0&& \\[1 em] \end{aligned} $$
$ 14x^{2}+9 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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