Question
$$9x^2-5+x^2+3x+10 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 20 }+\dfrac{\sqrt{ 191 }}{ 20 }i & x_2 = -\dfrac{ 3 }{ 20 }-\dfrac{\sqrt{ 191 }}{ 20 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9x^2-5+x^2+3x+10 &= 0&& \text{simplify left side} \\[1 em]10x^2+3x+5 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}+3x+5 = 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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