Question
$$427065+7283x+\frac{157}{5}x^2 = 1000000$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 36415 }{ 314 }-\dfrac{ 25 \sqrt{ 5000109}}{ 314 } & x_2 = -\dfrac{ 36415 }{ 314 }+\dfrac{ 25 \sqrt{ 5000109}}{ 314 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 427065+7283x+\frac{157}{5}x^2 &= 1000000&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot427065+5\cdot7283x+5 \cdot \frac{157}{5}x^2 &= 5\cdot1000000&& \text{cancel out the denominators} \\[1 em]2135325+36415x+157x^2 &= 5000000&& \text{simplify left side} \\[1 em]157x^2+36415x+2135325 &= 5000000&& \text{move all terms to the left hand side } \\[1 em]157x^2+36415x+2135325-5000000 &= 0&& \text{simplify left side} \\[1 em]157x^2+36415x-2864675 &= 0&& \\[1 em] \end{aligned} $$
$ 157x^{2}+36415x-2864675 = 0 $ is a quadratic equation.
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