Question
$$5000 = 100x\cdot30x$$
Answer
$$ \begin{matrix}x_1 = - \dfrac{\sqrt{ 15 }}{ 3 } & x_2 = \dfrac{\sqrt{ 15 }}{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5000 &= 100x\cdot30x&& \text{move all terms to the left hand side } \\[1 em]5000-3000x^2 &= 0&& \text{simplify left side} \\[1 em]-3000x^2+5000 &= 0&& \\[1 em] \end{aligned} $$
$ -3000x^{2}+5000 = 0 $ is a quadratic equation.
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