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