Question
$$2x\cdot3+13x^2+17x-12 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 23 }{ 26 }-\dfrac{\sqrt{ 1153 }}{ 26 } & x_2 = -\dfrac{ 23 }{ 26 }+\dfrac{\sqrt{ 1153 }}{ 26 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 2x\cdot3+13x^2+17x-12 &= 0&& \text{simplify left side} \\[1 em]6x+13x^2+17x-12 &= 0&& \\[1 em]13x^2+23x-12 &= 0&& \\[1 em] \end{aligned} $$
$ 13x^{2}+23x-12 = 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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