Question
$$4x^2 = 5x+6$$
Answer
$$ \begin{matrix}x_1 = 2 & x_2 = -\dfrac{ 3 }{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2 &= 5x+6&& \text{move all terms to the left hand side } \\[1 em]4x^2-5x-6 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-5x-6 = 0 $ is a quadratic equation.
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