Question
$$10x^2+7x+6 = 6x+5$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 20 }+\dfrac{\sqrt{ 39 }}{ 20 }i & x_2 = -\dfrac{ 1 }{ 20 }-\dfrac{\sqrt{ 39 }}{ 20 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 10x^2+7x+6 &= 6x+5&& \text{move all terms to the left hand side } \\[1 em]10x^2+7x+6-6x-5 &= 0&& \text{simplify left side} \\[1 em]10x^2+x+1 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}+x+1 = 0 $ is a quadratic equation.
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