Question
$$-8x^2+2-10x-7 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 5 }{ 8 }+\dfrac{\sqrt{ 15 }}{ 8 }i & x_2 = -\dfrac{ 5 }{ 8 }-\dfrac{\sqrt{ 15 }}{ 8 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -8x^2+2-10x-7 &= 0&& \text{simplify left side} \\[1 em]-8x^2-10x-5 &= 0&& \\[1 em] \end{aligned} $$
$ -8x^{2}-10x-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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