Question
$$-2x^2+5x-6x^2+4x-3 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 9 }{ 16 }+\dfrac{\sqrt{ 15 }}{ 16 }i & x_2 = \dfrac{ 9 }{ 16 }-\dfrac{\sqrt{ 15 }}{ 16 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -2x^2+5x-6x^2+4x-3 &= 0&& \text{simplify left side} \\[1 em]-8x^2+9x-3 &= 0&& \\[1 em] \end{aligned} $$
$ -8x^{2}+9x-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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