Question
$$3x^2+5x-(6x-6x^2+2) = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 18 }-\dfrac{\sqrt{ 73 }}{ 18 } & x_2 = \dfrac{ 1 }{ 18 }+\dfrac{\sqrt{ 73 }}{ 18 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x^2+5x-(6x-6x^2+2) &= 0&& \text{simplify left side} \\[1 em]3x^2+5x-6x+6x^2-2 &= 0&& \\[1 em]9x^2-x-2 &= 0&& \\[1 em] \end{aligned} $$
$ 9x^{2}-x-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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