Question
$$10xx+38x = 570$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 19 }{ 10 }-\dfrac{\sqrt{ 6061 }}{ 10 } & x_2 = -\dfrac{ 19 }{ 10 }+\dfrac{\sqrt{ 6061 }}{ 10 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 10xx+38x &= 570&& \text{move all terms to the left hand side } \\[1 em]10x^2+38x-570 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}+38x-570 = 0 $ is a quadratic equation.
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