Question
$$11x+7x^2-5+8-3x+4x^2 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 4 }{ 11 }+\dfrac{\sqrt{ 17 }}{ 11 }i & x_2 = -\dfrac{ 4 }{ 11 }-\dfrac{\sqrt{ 17 }}{ 11 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 11x+7x^2-5+8-3x+4x^2 &= 0&& \text{simplify left side} \\[1 em]11x^2+8x+3 &= 0&& \\[1 em] \end{aligned} $$
$ 11x^{2}+8x+3 = 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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