Question
$$3x^2+5x-6+2x^2-6x+7 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 10 }+\dfrac{\sqrt{ 19 }}{ 10 }i & x_2 = \dfrac{ 1 }{ 10 }-\dfrac{\sqrt{ 19 }}{ 10 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x^2+5x-6+2x^2-6x+7 &= 0&& \text{simplify left side} \\[1 em]5x^2-x+1 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-x+1 = 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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