Question
$$6x^2-7x = 14$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 7 }{ 12 }-\dfrac{\sqrt{ 385 }}{ 12 } & x_2 = \dfrac{ 7 }{ 12 }+\dfrac{\sqrt{ 385 }}{ 12 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 6x^2-7x &= 14&& \text{move all terms to the left hand side } \\[1 em]6x^2-7x-14 &= 0&& \\[1 em] \end{aligned} $$
$ 6x^{2}-7x-14 = 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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