Question
$$4x^2+3x-4+5x-8+3x^2+10 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 4 }{ 7 }-\dfrac{\sqrt{ 30 }}{ 7 } & x_2 = -\dfrac{ 4 }{ 7 }+\dfrac{\sqrt{ 30 }}{ 7 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2+3x-4+5x-8+3x^2+10 &= 0&& \text{simplify left side} \\[1 em]4x^2+8x-12+3x^2+10 &= 0&& \\[1 em]7x^2+8x-2 &= 0&& \\[1 em] \end{aligned} $$
$ 7x^{2}+8x-2 = 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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