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