Question
$$4x^2+12x = -5$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 1 }{ 2 } & x_2 = -\dfrac{ 5 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2+12x &= -5&& \text{move all terms to the left hand side } \\[1 em]4x^2+12x+5 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}+12x+5 = 0 $ is a quadratic equation.
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