$$x^2+109.77x = 3496.77$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 109 }{ 2 }-\dfrac{\sqrt{ 25865 }}{ 2 } & x_2 = -\dfrac{ 109 }{ 2 }+\dfrac{\sqrt{ 25865 }}{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+109.77x &= 3496.77&& \text{simplify left side} \\[1 em]x^2+109x &= 3496.77&& \text{move all terms to the left hand side } \\[1 em]x^2+109x-3496 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+109x-3496 = 0 $ is a quadratic equation.
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